Undefeated in two games under center for the Texans, veteran quarterback Brandon Weeden enjoyed his experience enough that he’d like to return next season.

Weeden completed 26 of 52 passes for 305 yards, three touchdowns and zero interceptions for a 107.7 passer rating for the Texans, rallying them to a comeback victory over the Indianapolis Colts and winning a start over the Tennessee Titans.

“Absolutely,” Weeden said when asked if he’d like to be back in Houston. “It’s crazy. It’s been four years and I’m already a free agent. I’ll weigh my options and go from there.

“I got an opportunity to come down here and it has been a good time. We won a lot of games while I was here and it’s a great locker room, great town, everything. It was all a very good experience.”

Of course, Weeden will have options as a pending unrestricted free agent. And the Texans and Weeden will have to contemplate how he fits into their quarterback puzzle that includes starter Brian Hoyer, reserve Tom Savage and, potentially, a rookie draft pick or even another veteran.

“I hope so,” Weeden said of having job offers. “It’s really all I could do was to go out there and try to play well and try to create an opportunity down the road. Hopefully, it will work out.”

As Hoyer struggled mightily, throwing four interceptions and committing a total of five turnovers during the Texans’ 30-0 AFC wild-card playoff game loss to the Kansas City Chiefs, fans were chanting Weeden’s name in vain. Hoyer remained in the game until the bitter end. At one point in the third quarter, Weeden was warming up on the sideline.

“We talked about me going in there with Brian, but Brian wanted to finish the thing out,” Weeden said. “I don’t blame him. I’ve been in that situation before and it’s the kind of person he is. He’s a competitor. He felt like he wanted to finish the fight with his guys. If he would have went down, then obviously I would have gone in, but he wanted to finish it.”

A 2012 Cleveland Browns first-round draft pick who lost all three of his starts this season with the Dallas Cowboys before being released and claimed by the Texans when Tony Romo was activated, Weeden broke a string of 11 consecutive losses as a starter with his win over the Titans where he threw two touchdowns and ran for his first NFL touchdown.

“I’m used to the boos when I was in Cleveland,” Weeden said of having fans chant his name. “That’s all they did. I’m not a big fan of that. Maybe it’s because I’ve been on the bad side of it. We know we’re not playing well. You hear that, and not only does it affect the quarterback, it affects everybody else: offense, defense, kickers. It’s unfortunate.”

aaron.wilson@chron.com

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