Jose Mourinho's recent appointment as manager of Inter has led to inevitable reports suggesting Essien will reunite with the former Blues boss at the San Siro.
"I will go back to Chelsea for the next season and expect to have a great season," he said in the Sunday Mirror.
"Most of the guys have gone on holidays and they will put the disappointment of the last season behind them.
"The season generally was very disappointing, but that is football. When you put these things behind you, you become stronger."
Essien's agent Fabien Piveteau added: "The player is very happy in London and still has four years left on his contract, so I don't see that he will be moving for the moment.
"In football anything can happen. But Chelsea are a rich, powerful and ambitious club, and he is happy to play for them."