Pique caused something of a stir when he thanked singer Kevin Roldan for inspiring Barca's treble triumph as his side paraded their Champions League trophy.
"Thanks to Kevin Roldan, it all started with you," he said, referring to Ronaldo's birthday party - at which Roldan performed - which followed Madrid's 4-0 thrashing by Atletico Madrid in Feburary.
However, Pique's Spain team-mate Carvajal claims he was not offended by the remarks and congratulated Barca on their achievements.
"I don't find Pique's words offensive," he was quoted as saying by Marca. "I congratulate Barcelona for this season's results."
Carvajal's team-mates Iker Casillas, Sergio Ramos and Isco declined to respond when asked for their opinion by reporters at Spain's training centre close to Madrid.
The European champions are currently preparing for Thursday's friendly against Costa Rica.