In a recent interview with ESPN.com, Randolph said he hasn't decided if he'll opt out of the final year of his contract or play out next season at $16.5 million.
But Randolph was adamant that he doesn't want to go anywhere after entrenching himself in the Memphis community far more than he ever did in previous stops with the Portland Trail Blazers, New York Knicks and Los Angeles Clippers.
"I'd like to be here," Randolph told ESPN.com. "I'd like to retire here. You never know. If I've got to make some sacrifices to be here, I would. I still can play, I can still help a team out. I want to win a championship. I've made all the money in the world. I just want to win.
"I don't know yet [about opting in or opting out], but Memphis is my home. If they trade me tomorrow, I'm here. I just bought a new house. My daughters go to school [in Memphis]. That's my home."
Questions about Randolph's future have been coming since last season, dating to the Grizzlies' January acquisition of potential long-term replacement Ed Davis.
Acquired from the Toronto Raptors in the trade featuring Rudy Gay, Davis will be a restricted free agent in July -- regardless of whether Randolph opts out -- after extension talks with the Grizzlies did not progress to the serious stage before the Oct. 31 deadline.
When he mentioned potential "sacrifices" he'd make to stay in Memphis, Randolph seemed to suggest that he would consider signing a new deal at a lesser salary as long as it comes with the long-term security that keeps the two-time All-Star in his adopted home base.
Randolph averaged 15.4 points and 11.2 rebounds last season for the Grizzlies and shed an estimated 15 pounds over the summer heading into what the 32-year-old knows is a crucial season for him.
With the Grizzlies still adjusting to some of the new offensive wrinkles being implemented by first-year coach Dave Joerger, Randolph is averaging 13.0 points and 10.3 rebounds this season.