Eagles coach Adam Simpson also made a public apology on behalf of the club.
Brayshaw was quick to accept the apologies.
“When I heard it [Vardy’s comments] I was a little bit disappointed,” Brayshaw said.
“But at the end of the day I’ve physically and emotionally moved on from it, so it didn’t bother me that much.
“And to hear Andrew [Gaff], Simmo [Adam Simpson], and the whole club support me a bit, I was really appreciative of that.
“It didn’t really bother me that much to be honest.”
Brayshaw will be back in action on Saturday when he lines up against Melbourne at the MCG.
The 19-year-old has been a solid contributor in his second AFL season, averaging 16.4 possessions and four tackles per game.
Brayshaw was widely praised by his teammates last week after producing two fantastic rundown tackles at crucial moments in the 21-point win over Port Adelaide.