You shouldn't get a change in pitch when you convert properly.
• Select the audio regions pointing to the desired audio file in the Arrange area, then choose +Audio > Convert Regions to New Audio Files+ in the local Arrange area menu (or use the +Convert Regions to New Audio Files+ key command; default: Option-Command-F).
The part of the audio file spanned by the audio region is converted to a new audio file.
• Select the audio files in the Audio Bin, then choose +Audio File > Copy/Convert File(s)+ in the local Audio Bin menu (or use the +Copy/Convert File(s)+ key command).
If you are using one of the above methods & the pitch is still changing, let me know. Meanwhile, I'm just going to double-check…