Martino is under huge pressure after a dismal run of results.
"It is easier to criticise the manager than 25 players," noted Puyol. "But if things go wrong it is everyone's fault.
"I wish him the best. He's a great coach and has another year of his contract. We'd die for him and him for us.
"It is tough being out of the Champions League and the next game is tough, but we have a final against a great rival and I would like to tell the fans that we will give our all and that we must stick together, and everything will be easier.
"We've messed up a few things and we are our own worst critics. Now we will fight to win the final and the last five games. We haven't given up on the league."