McGinley's appointment was confirmed on Tuesday and Woods believes that the Irishman's popularity makes him a perfect candidate.
The former world number one said: "I've got to know Paul pretty well over the years and more so over the last two Ryder Cups given his role as a vice-captain.
"He's going to make a great captain. I've seen for myself how well he's liked by everybody.
"So I can see Paul being a good rival to Tom and our American team will need to give him every respect given he's also got such a great record for Europe."