On Tuesday night, Rose made his first appearance since January 31 but during his time on the sidelines, the left-back questioned the wage and transfer policy at the Premier League club, as well as hinting at an eventual exit to another English team.
However, supporters gave the England international a warm welcome as he helped Spurs claim a 1-1 draw at the Bernabeu, and the 27-year-old has acknowledged that he is grateful for the reception that he received.
Rose is quoted by the London Evening Standard as saying: "My opinions will be voiced in a different way from now on. I've been disciplined and we move forward together as a club.
"I did what I did. I was expecting a frosty reception from the fans so I just have to say thank you to them for giving me a great reception when I came on and when I was training on the pitch after the game.
"I'm trying to look forward now for the rest of the season. First and foremost I have to try to win my shirt back. [What I said has] gone now, my manager (Mauricio Pochettino) has forgotten about it and we all move forward and we try to win this club a trophy."
Rose will hope to feature when Spurs host Liverpool on Sunday afternoon, although head coach Pochettino may choose to hand the player his first start against West Ham United in the EFL Cup next week.