Joseph Macdonald 

I don't believe there is a setting for this. In a way it's almost funny as for years people complained that they wanted a way to put this window on top and now you want the opposite.  The solution many people provided to put this on top was to use AutoHotkey like this:

WinSet, Alwaysontop, On, Find and Replace

I didn't write this original script, I took it from here:  RE: Set a window Always On Top and then just edited it like this to do the opposite:

;------------------------------------------------------------------------------
; Find & Replace windows always on top... turn them off!
;------------------------------------------------------------------------------
#IfWinActive Trados Studio
Ctrl & f::
SendInput, ^f
Sleep, 99
IfWinExist, Find and Replace
WinActivate, Find and Replace
WinSet, Alwaysontop, On, Find and Replace
Sleep, 99
WinSet, Alwaysontop, Off, Find and Replace
Return
Ctrl & h::
SendInput, ^h
Sleep, 99
IfWinExist, Find and Replace
WinActivate, Find and Replace
WinSet, Alwaysontop, On, Find and Replace
Sleep, 99
WinSet, Alwaysontop, Off, Find and Replace
Return
#IfWinActive

It seems to work for me, so if you have AutoHotkey it may be what you're after until (if) it gets resolved.

 Jesús Prieto may have a better script as I just dabble with this stuff!

Interestingly if you hadn't posted into the wrong forum I wouldn't have even thought about AutoHotkey to solve this ;-)

 Jesús Prieto 

I also finally managed to make this work with AHK version 2:

;------------------------------------------------------------------------------
; Ensure "Find and Replace" window is always on top when Trados Studio is active
; and not always on top when Trados Studio is not active
;------------------------------------------------------------------------------

#Requires AutoHotkey v2.0

#HotIf WinActive("ahk_exe SDLTradosStudio.exe")

$^f:: triggerFindAndReplace()
$^h:: triggerFindAndReplace()

triggerFindAndReplace() {
    find := "Find and Replace" ; Window title of the Find and Replace window
    Send '^f'
    If WinWaitActive(find, "", 2) {
        WinSetAlwaysOnTop(1, find) ; Use 1 for On
;        SoundBeep(1500)
    }
}

; Check the active window every 100 milliseconds
SetTimer CheckActiveWindow, 100

CheckActiveWindow() {
    find := "Find and Replace"
    activeWin := WinExist("A")

    if activeWin and WinActive("ahk_exe SDLTradosStudio.exe") {
        if WinExist(find) {
            WinSetAlwaysOnTop(1, find) ; Turn on always on top if Trados Studio is active
        }
    } else {
        if WinExist(find) {
            WinSetAlwaysOnTop(0, find) ; Turn off always on top if Trados Studio is not active
        }
    }
}

#HotIf

Works pretty nicely for me as well..

Paul 

Nice! I can’t test it, because I haven’t got AutoHotkey 2.0.

I really like the syntax of AutoHotkey 2.0, but I don’t have plans to upgrade to 2.0 in the short term, because there are many lines of code to change. For sure I’ll do it when version 1 is not compatible with Windows 12…

 Jesús Prieto 

I totally understand that!  I'm not as technically experienced as you are with AHK and I actually found that with 1.0 ChatGPT gave me some powers I didn't have before to tackle far more ambitious solutions with AHK.  But when I switched to 2.0 it's become almost impossible as ChatGPT makes mistakes with using this and uses incorrect syntax all the time.  So updating 1.0 code is not a trivial task.

I did ask in the forums when I got stuck with this "simple" task and the advice was really to start with something very small and simple and build it out.  So in the end I found I had to start learning how to use AHK more and then I was able to start getting some useful help.  If I found the syntax I needed to use for features first then ChatGPT is quite good at implementing them... in bite sized chunks!  So it's become even more of a collaborative approach with AI for me than it was before and I need to know more!

 Jesús Prieto 

I totally understand that!  I'm not as technically experienced as you are with AHK and I actually found that with 1.0 ChatGPT gave me some powers I didn't have before to tackle far more ambitious solutions with AHK.  But when I switched to 2.0 it's become almost impossible as ChatGPT makes mistakes with using this and uses incorrect syntax all the time.  So updating 1.0 code is not a trivial task.

I did ask in the forums when I got stuck with this "simple" task and the advice was really to start with something very small and simple and build it out.  So in the end I found I had to start learning how to use AHK more and then I was able to start getting some useful help.  If I found the syntax I needed to use for features first then ChatGPT is quite good at implementing them... in bite sized chunks!  So it's become even more of a collaborative approach with AI for me than it was before and I need to know more!