Former Real Betis coach Quique Setien replaced Valverde in January despite Barca being top of La Liga and having progressed to the knockout stages of the Champions League.
Abidal, who is a former teammate of Messi, said the players “were not satisfied nor worked hard” under Valverde, adding that he thought there was an “internal communication issue.”
“The coach-dressing room relationship has always been good, but there are things I can smell as an ex-player. I told the club what I thought and a decision had to be made,” he said.
In response, the six-time Balon d’Or winner challenged Abidal to name the players he was referring to and said the club’s hierarchy should take responsibility for their own decisions.
“The players should own up to what happens on the pitch and additionally, we are the first ones to admit when we weren’t good.
“The sporting directors should also take their share of the blame and above all else own up to the decisions they make.
“Lastly, I think that when one speaks about the players, they should give names because if not they’re dirtying everyone and feeding things that are said and are not true.”
‘Messi could leave’
Barca is currently second in La Liga, three points behind fierce rivals Real Madrid, but long-term injuries to Luis Suarez and Ousmane Dembele have left the Catalan team short of forward options.
“It might be a very small one but there is a possibility that Messi could leave Barcelona,” he told CNN’s Christina MacFarlane.
“They will have to do something about this because a lot of jobs will rely on Barcelona fans being able to enjoy not only their best player but the best player in this sport.”
Setien attempted to pour cold water on the crisis ahead of Barcelona’s Copa del Rey quarterfinal against Athletic Bilbao, saying he was just focused on the football.
“This situation doesn’t affect me, all I can do is give the players the tools they need to make the most of their talent,” he told reporters Wednesday.
“Every single club has its problems but there are things I can’t control, so please, only talk to me about football.”