Karlsson is out for the season after his Achilles was cut more than two-thirds of the way through by Cooke's skate in a game last week against the Penguins.
The Senators blue-liner says he received a text from Cooke, but did not reply because he feels the two have nothing to say to each other.
According to Karlsson, Cooke "missed the hit and still got me somehow."
Cooke has said it was a "freak, unfortunate accident."
Karlsson said he agrees that the injury was an accident, but suggested it could have been avoided by less aggressive playing.
"I don't think it would have happened with another player,” he said. "But I refuse to believe it was intentional."
Karlsson in good spirits despite injury
Karlsson spoke to the media from Scotiabank Place for the first time since undergoing surgery for the injury.
Karlsson said it was an "easy accident to happen."
"We have so much power these days, the skates are so sharp," he said.
The Norris-Trophy winning player is in good spirits despite being unable to play for the rest of the season.
"I feel pretty good actually," he said. "I can walk around, it takes me a while to get anywhere."
He also said he can take the cast off and sleep without it on.
Although Karlsson won't be on the ice anytime soon, he said he keeps himself busy by watching golf on television and cheering up his teammates as they prepare to finish the season without their star player.