The issue was whether Visnovsky still had an active no-trade clause. The veteran blueliner was traded from the Edmonton Oilers to the Ducks in 2010 and argued that his no-trade clause was still valid.
His agent Neil Sheehy told Newsday that Visnovsky accepts the ruling.
"This was a CBA issue between the NHL and the NHLPA," Sheehy said. "The language wasn't clear, it's clear now. The arbitrator made it clear. I fully accept it and [Lubomir] does as well, there are no issues. The arbitrator has spoken."
In 68 games with the Ducks last season, Visnovsky had six goals and 21 assists for 27 points.
"As I said the night of the NHL draft, we are extremely excited to add Lubomir to our roster and look forward to him joining our blue line this season," Islanders GM Garth Snow said in a statement.