Rooney has been on the books of Manchester United since 2004 and has a contract until June 2019.
Former England national team coach Sven-Goran Eriksson, now in charge of Chinese Super League club Shanghai SIPG FC, suggested to The Sun last week that the former Everton star should move to China.
West Ham vice-chairman Brady does not believe that the 30-year-old forward will join a Chinese club anytime soon.
“Sven-Goran Eriksson pops up from Shanghai, issuing an invitation to his pal Wayne Rooney to end his playing days in China,” the 46-year-old has written in her football diary in The Sun (Wednesday, November 25 entry).
“That is as unlikely as the England captain studying Ancient Greek at Oxford and, from the little I know of him, he would much prefer to stay with Coleen and the kids near the Mersey than on the Yangtze.”
Rooney has struggled to play well this season, but he still remains a player who has a lot more to offer to the game in England.
The England international forward’s talent is undeniable, and he will eventually start to play well.
It is too early for Rooney to contemplate moving to China, especially as some top clubs in Europe will surely be interested in him if United do decide to sell him in the summer transfer window.