Schultz, 21, was drafted by the Ducks in the second-round of the 2008 NHL Entry Draft. He's considered one of the best blueliners not in the NHL.
"We're still trying to sign him," Ducks GM Bob Murray told the Orange County Register.
According to the Register, the Ducks are so high on Schultz that if they sign him, they'll likely explore trading veteran Lubomir Visnovsky, a proven All-Star.
The Vancouver Canucks, Toronto Maple Leafs, Edmonton Oilers, New York Rangers, Montreal Canadiens, Boston Bruins and Detroit Red Wings are among the teams interested in Schultz.