The Ecuador international has been restricted to just 48 minutes over five Premier League appearances since joining from West Ham on deadline day.
His only start saw him play 90 minutes in the EFL Cup defeat at home to Championship side Norwich.
Despite the team scoring only six goals in their last eight Premier League matches, Valencia appears to be nowhere near the starting line-up under Ronald Koeman at Goodison Park.
However, he hopes that will change in the next month when matches come thick and fast.
"Hopefully I can play more games in this busy time over Christmas," he told Everton's website.
"I really want to be a part of the team and hopefully there will be a lot of rotation with players coming in and out.
"It is always the same when you go to a new club: you have to learn how they want you to operate. It has been different to what I have done previously.
"But when you start to understand what the manager wants from you then it becomes easier and that is how it is going at the moment."