The Nigerian international launched a series of Twitter attacks against the club after a transfer request was rejected last month.
He then turned up without permission at Loftus Road in the hope of sealing a move to QPR, only for no deal to happen.
But Brunt insists there are "no issues" with Odemwingie, providing he shows the right attitude in his approach to training and playing.
"There are no issues. Football is football," Brunt said. "As long as everyone is doing their job then nothing that has gone on before will be an issue.
"Since Peter Odemwingie came back, he's got his head down and got on with it. We've seen in the past what he can do on the pitch and how good he can be.
"It's up to the gaffer what team he picks but we need all the players we can get.
"We don't have a massive squad and Peter is a good player so I'm sure he will play a part for us.
"As long as everyone gives 100 per cent during training and on the pitch, then there are no complaints."
- Sports & Recreation