Whitehead, 35, did not feature for David Wagner’s side in the Sky Bet Championship play-offs, but his experience could be an asset for the Terriers in the Premier League next season.
“Of the current first-team group, midfielder Dean Whitehead and goalkeeper Luke Coddington will be offered new contracts by the club,” Huddersfield said on their official website.
Whitehead featured for Town on 20 occasions this season, while Coddington, 21 and yet to make his full Town debut, had a spell on loan at Wrexham.
Chelsea pair Izzy Brown and Kasey Palmer, plus fellow loanees Aaron Mooy (Manchester City) and Danny Ward (Liverpool) have returned to their respective parent clubs, Town confirmed.
Goalkeeper Joe Murphy will turn his loan at Bury into a permanent deal when his contract expires later this summer and striker Flo Bojaj will be released.
Under-23 defenders Fraser Horsfall and Dylan Cogill, plus goalkeepers George Dorrington and Tadhg Ryan, will be offered new contracts.