Bayern boss Pep Guardiola suggested Rooney may have influenced the referee's decision to give Schweinsteiger his marching orders in the closing stages of Tuesday night's Champions League quarter-final at Old Trafford.
Schweinsteiger received a second yellow card for a sliding challenge on the England striker as he attempted to bring the ball away from United's penalty area.
The Munich midfielder, who gave Rooney a verbal blast before trudging off, will now be suspended for the return leg at the Allianz Arena next Wednesday.
But the United talisman believes the reigning European champions can have no complaints, insisting the tackle was a foul and that he was forced into evasive action to avoid getting hurt.
Speaking to the assembled media after the match on Tuesday night, Rooney said: ``I don't really want to say what he [Schweinsteiger] said, but I thought it was a foul.
``If I didn't get out of the way he could have hurt me, he's gone in with his studs and the referee has booked him, so it's not my decision.
``It's not nice to see anyone get sent off. I didn't try and get him sent off, the referee has made the decision. I have tried to stop myself from getting hurt and the referee has had a decision to make.
``He's a great player and he's obviously someone they will miss - and [Javi] Martinez as well being suspended - but they have a great squad of players who can come in.``
Bayern were fuming when Antonio Valencia escaped a red card for a lunge on Jerome Boateng in the Munich penalty area earlier in the second half.
Valencia jumped in with both feet with a challenge worse than Schweinsteiger's but Spanish referee Carlos Carballo did not even get out a yellow card - a booking which would have been the Ecuadorian's second of the game and resulted in his dismissal.
Bayern sporting director Matthias Sammer was left stunned and accused the referee of double standards.
``If you apply the same standards then I don't know how Valencia stays on. If the referee has a policy, then he must go through with it,`` Sammer is reported as saying in the Daily Star.
``There's no question that what Schweinsteiger did was a foul, but with Valencia, there were also several fouls, including his outstretched leg against Jerome Boateng. At this level, you have to apply the same standards.``
Meanwhile, ahead of the second leg at the Allianz Arena, Rooney added: ``They are favourites for the tournament and it will be a tough ask over there. It's a massive game for our season.
``I scored there last time, it's a fantastic stadium to play in and to go there with the chance to knock the holders out of the tournament is a great incentive to us.
``A result there will keep our season alive so we're looking forward to it and it's a massive challenge to us and we have to go and prove we are a good team.``