With the salary cap dropping to $64.3 million next season, a number of teams are finding ways to get under the bar.
However, as the Sun reports, the Ducks would like to hold on to Ryan, who has two-years left on his contract.
The Philadelphia Flyers and Ottawa Senators have expressed an interest in Ryan in the past, and could revisit trade talks this summer.
With limited depth up front, the Ducks are expected to make moves to strengthen their top-six unit. It's unclear if Teemu Selanne will retire, and that will factor into any decision the Ducks make surrounding Ryan.
Based on their current roster, the Ducks have between $9 million to $10 million in available salary cap space to play with this summer.
The Ducks are likely to try and re-sign center Saku Koivu for the team's third line, though forwards Matthew Lombardi, Radek Dvorak and David Steckel could walk as unrestricted free agents July 5.