Rose was not even named on the bench for Saturday's defeat to Arsenal as Spurs boss Pochettino felt he would be better off doing a fitness session at the club's training ground.
The move prompted renewed speculation surrounding the future of the defender who had to apologise in August after suggesting he would be open to leaving Spurs.
However, speaking after Tottenham beat Borussia Dortmund 2-1 in the Champions League on Tuesday, Rose sought to clarify his reaction to missing out against the Gunners.
"My reaction was I was fuming, I was angry, but understanding at the same time," Rose said.
"There's been no bust-up, there's been no argument, there's been no falling out. The manager just explained that he thought it'd be better for me to do a hard session on Saturday, which I did.
"I did that. I understand that there's been a lot of reports but it's not welcomed, and it's not true, and whether I'd been at the Emirates or not, I think everybody's losing sight that I couldn't have stopped the referee or linesman from making bad decisions that led to us conceding.
"Me and the manager have not fallen out, not had an argument. I was angry about not being involved in the squad, but at the same time I understand and I respect his views."