Bale, 31, cut a frustrated figure on the bench during Los Blancos' celebrations of winning the 2019/20 LaLiga and was criticised for his recent antics whilst on the sidelines.
While Zidane claimed his omission from the matchday squad for the final game of the season was purely tactical, Bale's agent has now reiterated that the club's highest-paid player will not be leaving in the off-season.
"Gareth is fine. He has two years left on his contract," his agent Jonathan Barnett told BBC Sport. "He likes living in Madrid and he is going nowhere.
"He's not looking to outlast Zinedine Zidane. Mr Zidane has been very successful. There's no hatred. Mr Zidane just does not want to play him. Gareth trains every day and he trains well."
Bale has scored 105 goals and registered 68 assists in 251 games while helping Real win four UEFA Champions League titles since joining the club from Tottenham Hotspur in Septemeber 2013.