Rice has been strongly linked with a move to Chelsea in particular, with the Blues in the midst of a huge spending spree.
The 21-year-old was previously in Chelsea’s academy but was released at the age of 14 before moving to West Ham.
Rice has since progressed to become a mainstay in the West Ham midfield and become a full England international, with seven caps to his name.
14-time WWE world champion Triple H is a huge West Ham fan and has urged Rice, who has a contract until the summer of 2024, to remain and become a cult hero.
“I have a message for one Declan Rice," Triple H told BT Sport.
"Declan, you’ve got bit decisions ahead of you and I understand that. Far be it from me to tell you what to do.
"But I’d like to give you a point of view that sometimes in life there are more important things, there is the opportunity to do something more, to be a hero, to be a hero for fans that have supported you. To be a hero to people that have watched you come up through a system and succeed in that system.
“To be a hero and build something on your own. To not just succeed but to succeed on your terms. To become something more, to become the one and only, the first Declan Rice, to build your legacy, to build your franchise.
"Stay with the people that brought you to the dance. Stay with West Ham. And become the champion and become everything they all know Declan Rice can be."
Rice played every Premier League game for West Ham last season and scored one goal.
