The Real Madrid star has made headlines this week after claiming that his side have more passion and pride than their English counterparts.
And, when asked how many of Wales' opponents are good enough to play for Coleman's side, the 26-year-old replied: "None."
But Bale offered his own riposte, talking up his team's chances going into their crucial Group B meeting.
"In the press conference, someone said I disrespected England - that wasn't the case," he said. "They're entitled to their opinion. I really don't care what they say, to be honest.
"If they feel they have the better squad, good for them. We know we have a good team, and we know we can beat them on our day."
Bale also moved to clarify his remarks regarding England's supposed inferior passion.
"I'm not saying England don't have passion - I'm sure they do," he added.
"For me, I just feel with the rugby, the football, whatever sport it is, in Wales, we seem to have that next level and you really feel it on the pitch."