The forward is set to play a part for the Three Lions in their friendly against Scotland despite missing the Community Shield victory over Wigan on Sunday, with Manchester United attempting to hold off the advances of Chelsea despite their star's desire to leave Old Trafford.
|4/1||Wayne Rooney is 4/1 with BetVictor to score the first goal in England v Scotland
"Players cannot bring their club problems to England. If there were any problems with England, they cannot take them back to their clubs. It is two separate identities.
"I expect players, when they come here [to the England squad] to be fully focused on playing for England."
Asked if Rooney would be fit to face Scotland, Hodgson replied: "I think so. We will see on Tuesday how he reacts to Monday's session because it might have been a bit more intense than the work he has been able to do while recovering from injury.
"If there are no problems and he comes through the training session well, we will speak to him and make a decision.
"Whether he starts or comes on the field at some later stage is of less importance to me than the fact he is there, ready to play football for us and will hopefully be ready for the [World Cup qualifying] games in September and October."
"Rooney looked good, as I expected. There was no doubt in my mind in the session that he was not still suffering from a physical injury."
Hodgson is hopeful that Rooney's status at United will be resolved in the near future, and stressed that the 27-year-old will always be in the running for England.
"It would be very nice if that happens both for him and his club," he added.
"But I've been faced many, many times with a situation where players are not necessarily in their team, he will always be considered for England while he is physically fit, because he's one of our best players."