Although he started in the English Football League Cup, Rooney was dropped in the wake of United's 1-3 loss against Watford in the English Premier League last month.
The England international understood manager Jose Mourinho's decision after his poor display against Watford.
"Listen, I had a bad game at Watford. I played bad, I know that and I understand that," Rooney was quoted as saying by The Independent on Tuesday.
"I think if he was picking the next team on the back of that, I understand not playing. The team have done well."
"I understand I have to work hard and try and get back and try and get my chance and take it," he added.
Mourinho had suggested Rooney returned from his commitments for England a different player, with United losing three straight matches.
With the 30-year-old benched, Mourinho's men have claimed two consecutive wins, while being held by Stoke City.
"The team came back different, but I'll take a lot of that," Rooney said.
"Of course, I've done that throughout my career, but we have to work as a team in terms of trying to win and, if I'm on the bench, so be it."
"I'll fight. I won't not fight for my place, I'll fight to try and get back in."