Even if Perforce allowed it, reverting the deleted files wouldn't leave an integration behind, it would leave an add behind. A move operation consists of adding (not integrating) the file(s) to the new location and then deleting them from the old. If you think about it, integrating files to a new location and then deleting them from their original location makes no sense. The purpose of an integration is to maintain a relationship between two sets of files.
As far as I know, Perforce provides no "one click" mechanism to do what you want, but it's not too difficult:
- Copy the files you've modified to a temporary directory
- Revert your file moves
- Integrate the files and then open them for edit in their new location
- Copy the changed files from the temporary directory into the new location and submit them