Carey Price, while not formally retired, has publicly stated that he won't play another game in the NHL because of his knee injury. Price has not played a game since 2022, and is on LTIR with the Canadiens. He still has 3 years left (including this one) on his contract, earning $10.5 million annually.
It's clear that the Montreal Canadiens have a special place in Carey Price's heart, and he is still willing to do anything for the team. While it may seem insignificant, since Price won't play again, a trade would mean Price would end his career on a team other than the Canadiens.