The Wales international was an integral part of the Terriers promotion to the Premier League for the first time in their history.
The 30-year old, who has made two starts for the Reds in four-and-a-half years, wants the opportunity to be a regular in the Premier League next season.
He said: "It's in the hands of Liverpool because ultimately I'm their player.
"They've got to decide what's best. Liverpool have my contract and their needs come first, especially with the Champions League.
"On a selfish point, yes, I would like to stay at Huddersfield.
"I am only young for a goalkeeper and to have a chance of playing week-in week-out in the Premier League would be good experience for someone of my age.
"It would be more beneficial than being on the bench but, as I say, Liverpool have my contract."