The Liverpool boss has been faced with talk of a club versus country row after Raheem Sterling was benched for England's victory over Estonia, having informed national team manager Roy Hodgson that he was tired.
Sterling has come in for criticism for admitting fatigue, but Rodgers leapt to the teenage attacker's defence by highlighting the fact that he had not refused to play in Tallinn.
Rodgers denied talk of a rift with Hodgson and called for an end to the saga as he turns his attention to improving Liverpool's fortunes following an indifferent start to the season.
"I'm quite relaxed on it all and we will look at it after 10 games to see how we're set," he said.
"There's no crisis - we lost a world class player [Luis Suarez to Barcelona] and brought a number in.
"The players here are magnificent and the attitude and effort they show gives me the hope we can push on."
QPR manager Harry Redknapp has dismissed talk of him being under pressure after the London club's poor start to the season.
Tim Sherwood has been linked with the Loftus Road hotseat after Rangers' dismal display in a 2-0 defeat at Redknapp's former club West Ham before the international break.
"It was never going to be easy this season," he said. "There's been a big upheaval. The lads haven't hit the ground running.
"There's still so much time left this season. There's still so many games to play. I'm confident we'll be fine."
