Sagna has seen Gunners team-mates Aaron Ramsey and Eduardo - now with Shakhtar Donetsk - suffer broken legs at the hands of heavy tackles.
And the France international was further angered by a challenge on Samir Nasri by Paul Scholes in the FA Cup defeat to Manchester United recently.
"We've had two broken legs," Sagna told the Associated Press. "We went to Manchester and Samir [Nasri] got his leg ripped off again. There's nothing [done to stop it].
"They always wait until there is a major incident to make a decision, and then it's too late."
He added: "He [Nasri] almost had his leg cut off.
"If he breaks his leg what shall we say? It's too late.
"The problem is you can't have a discussion with them [match officials], you can't have a debate."
Far from blaming Arsenal's injury crisis for their elimination from three major competitions, Sagna conceded his side were beaten by deserved winners Birmingham City in the League Cup final, as they 'soiled' themselves on the big occasion.
"When you make all those efforts, you reach the League Cup final, which is at Wembley, and then we soil ourselves, that's not normal," he said.
"We were beaten in every domain, they won the most tackles, and honestly [Birmingham] deserved it."
However, Sagna believes Arsenal can still bring silverware to the Emirates Stadium this season as they sit five points behind Manchester United in the title race, but with a game in hand.
"We know we can do it," he said. "To answer the critics, you have to win [trophies]. For the moment we have not done this. So we can't answer back."