Roy Hodgson insists he will continue to give his best for Liverpool, but will accept any decision to hand the manager's job to somebody else.
Liverpool appeared to have shown signs of recovering from a poor start to the season when last week's 2-0 success over Chelsea made it three Premier League wins in a row.
However, the Reds followed up a midweek draw at Wigan Athletic by going down to a 2-0 defeat at Stoke City on Saturday to place fresh question marks over Hodgson's future.
The travelling support at the Britannia Stadium chanted the name of Kenny Dalglish and Hodgson was aware of the clamour for the Kop legend's return to the hot seat.
Hodgson, though, is adamant it will take time to produce consistent results with his current squad and is determined to fight on in the job he only accepted in the summer.
"If the club decide they want to give the job to somebody else, then I'll have to accept that, if that day comes," said Hodgson
"We are short of players, as everyone knows and we don't have so many options.
"The fans can chant for whoever they want and it will be up to the club to decide what they want to do.
"There is nothing I can do about it and I can only continue to do the best job I can do under these circumstances."
He added: "I can't get upset every time the fans chant someone's name and furthermore, we have millions of fans.
"Maybe the travelling fans are showing their frustration because we've lost, they are entitled to do that.
"Fans make their frustrations felt every time we lose, but unfortunately they may have to do that a few more times, because I can't see us going through a season winning every game."