Chatwood, 23, said he's excited to finally meet Oswalt, 35, on Thursday, when Oswalt joins the Rockies for his start against the Nationals.
"I was compared to him because of stature and similar stuff -- a big curveball, velocity on the fastball," said Chatwood (4-1, 2.33 ERA in seven starts). "Anytime you hear that, it's a compliment.
"I don't know him at all, but I'll meet him tomorrow. I just enjoy the way he pitches. I remember growing up watching him with the Astros and the Phillies. I like the way he throws the ball, and I've heard a lot of good things about the way he competes."
Chatwood said he uses any criticism for lack of height positively.
"It doesn't bother me at all," he said. "It adds fuel to the fire. I can't control how tall I am, so it doesn't matter. I've got to go out there, handle my business and try to help my team."
Thomas Harding is a reporter for MLB.com. Read his blog, Hardball in the Rockies, and follow him on Twitter @harding_at_mlb. This story was not subject to the approval of Major League Baseball or its clubs.