Liverpool endured its heaviest loss in 52 years as the Premier League season ended with a 6-1 humiliation at Stoke on Sunday.
After taking Liverpool from second last season to a sixth-place finish, Liverpool manager Brendan Rodgers said: "If the owners want me to go, I will go."
But Rodgers insisted that he still feels he has "a lot of offer" at Liverpool despite taking only eight points from the final nine games.
A season in decline was encapsulated in the first half when Mame Biram Diouf scored twice and Charlie Adam, Jon Walters and Steven Nzonzi also netted.
Captain Steven Gerrard pulled one back on his last appearance for the club before former Liverpool striker Peter Crouch added Stoke's sixth.
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