The former Liverpool defender has insisted Palhinha isn't good enough to play in the midfield of a major club.
After Tottenham's defeat to Chelsea this month, Carragher claimed: "Palhinha hasn't got the quality.
"For a player playing for Tottenham in central midfield, for me, that's a pass you have to be able to make. He can't make it."
Palhinha admits he saw the criticism after friends had sent him clips.
"I saw it because some people sent it to me, I can't say I didn't see it," said Palhinha, before recalling how his Portugal captain Cristiano Ronaldo had also been a target for Carragher during his time at Manchester United.
"I don't care what the people say. If he speaks bad things about Ronaldo, he can speak about everyone. Some people need to speak about another to be on the screens on the TV. My life is not about that, definitely.
"It makes it a bit embarrassing seeing sometimes the ex-players speaking that way. They speak and they look sometimes like superstars on their past, I don't have problems to say.
"I think he should have seen probably more games of me at Tottenham. I think I am doing a top season."
Palhinha's retort came on the eve of today's North London derby against Arsenal.