Colt McCoy, left, takes a snap as teammate Robert Griffin III observes during OTA’s at Redskin Park on Wednesday. (John McDonnell/The Washington Post)

Colt McCoy is 27 and entering his fifth NFL season. Yet he finds himself as the old man, relatively speaking, among the Washington Redskins’ quarterbacks, behind a pair of third-year pros in starter Robert Griffin III and backup Kirk Cousins.

McCoy signed with the Redskins as a free agent this offseason after three seasons with the Cleveland Browns and one season in San Francisco backing up 49ers starter Colin Kaepernick. McCoy could take over the third-quarterback role previously held by Rex Grossman, who has not been re-signed by the Redskins this offseason.

“I’m always competing, no question, and that’s what they want me to do,” McCoy said following an offseason practice this week at Redskins Park. “But at the same time, being in the position that I was last year with Colin, I felt like I helped him as much as I could. I certainly will do the same thing here with Robert.

“It’s been a good transition so far. I really like the offense. I like the guys on the team. It’s weird to say that I would be the veteran in the room at 27. But that is the case right now. I’ve been in a lot of systems, unfortunately. Going into my fifth year, this is my fifth system. So I’ve seen some different offenses and I really like what Jay [Gruden, the Redskins’ first-year head coach] brings to the table. I like what he’s doing. OTAs are going well and I’m just glad to be here.”

McCoy, who made 21 starts over his first two seasons in Cleveland but hasn’t started a game since then, said he wasn’t taking into consideration the possibility that Cousins might be traded this offseason when he decided to sign with the Redskins. Cousins has stayed put, at least thus far, and is poised to enter his third straight season as Griffin’s primary backup. McCoy said he simply felt comfortable with Gruden, offensive coordinator Sean McVay and General Manager Bruce Allen.

“I didn’t think about all that,” McCoy said. “I just wanted to go to a place where they wanted me and I felt like I would fit in. And when I visited here, I felt all those things with Jay, with Bruce, with Sean. It just felt right and I ended up not visiting anywhere else and just signed here.”

McCoy had only one pass attempt last season with the 49ers and his immediate prospects for playing time with the Redskins don’t seem greatly improved.

“Just keep grinding,” he said. “I love football. I have a lot of confidence. I just want to come in here and be the best teammate I can be and contribute in any way that I can. That’s my role right now. Sometimes you have to take a step back to take a few steps forward.”