Robert Griffin III -- Even Cowboys Fans Should Root for My Recovery

RG3 is right on track to make his triumphant return to the NFL by Week 1 ... and the Washington Redskins quarterback tells TMZ ... even his rivals should be rooting for his recovery.

Mr. Griffin III was getting ready to take his seat in the National Memorial Day parade in D.C. yesterday -- honoring our men and women in uniform -- when we asked the 23-year-old about his obliterated right knee.

RG3 -- who looked pretty healthy during a speed-walk to his waiting vehicle -- eventually got into his parade car with his mother and father ... both U.S. Army vets.