Freixa was furious after seeing Carvajal taunt Barcelona whiz Lamine Yamal after Sunday's El Clasico.
At the end of Real's 2-1 win, Carvajal was seen making a 'talking' gesture with his hand towards Yamal after the teen's taunts going into the game.
For Freixa, Carvajal's actions were over the top and he said on El Chiringuito: "Dani Carvajal behaved like a coward.
"It's very easy to do that when you've won a match in your stadium and everyone is applauding you. To go up to a child and say that... and have everyone see you and have it stored away from the locker room."
At the final whistle, Freixa also posted to social media: "What a shame not to be a Barça player and that Carvajal comes to me with nonsense.
"They don't know how to lose or win."