MWIII Guns and Camo Tracking

For anyone who owns MWIII, if you use an MWIII gun in Warzone and get it to max level, then use it in MWIII, will the gun's camos track properly in MWIII? Or will they not track at all?

I've gotten a few MWIII guns (BAL-27, ACR, MORS, etc) to Max Level and wanted to know that if I ever purchased MWIII if I would be able to get those guns to gold or even unlock camos on them.