There is a way of fooling this process for it to install. You will need two DVD drives though with this method.
I managed it using Lutris but I still couldn’t get it to run properly.
I tried the simple method of typing eject d: in the console but it still refused to release.
Anyway this is what I had to do, and this should work with other installs.
Do the install in a smaller virtual desktop (Runner options in config) as you will be swapping between Lutris and the install window.
Put both install discs in both drives and mount them.
Install disc 1 as usual until it asks for disc 2. Leave it for now and leave first disc in same drive.
Bring up Wine configuration by right clicking the game (highlighted) in Lutris. It should appear in the install window.
Select the Drives tab at the top.
Click on the drive letter (first disc) and rename the first disc to the second disc and click OK.
Now bring up Wine console (again right clicking in lutris) and type explorer.
In Explorer when you click on the drive your first disc is in, it should start the second drive up and read the second disc but it still says disc 1 (or CoD1 in your case), which still won’t work. If the drive doesn’t start, keep clicking in sub-directories until it does. This step seems to be needed to start fooling it.
Close explorer then the terminal.
Bring up Wine configuration again.
Click on first drive letter and select Remove followed by apply.
Click on Add then add the same letter as deleted. Fill in the path by using Browse for the second disc then OK. This makes sure the correct device and Label is set in advanced settings.
Go back into Explorer and all should now be correct. close it and continue with install.
You will have to repeat it as it asks for disc 1 again. but I didn’t need to remove then add drive letter.
All this was steps I took from notes when I had a go at it.
Hope this helps. Any probs let me know .
Thinking about it … there may be a much quicker way than this just by pointing the second disc to the same drive letter as the first disc (using browse or filling in all fields required manually) in Wine configuration before using Explorer to verify it works but not tried it.
If someone succeeds in getting this game to run then please let me know the settings needed because I have to dual boot just to play this. COD 2 & 4 was really easy but this is a PITA go get going.