In 402 games with New York, Colorado and Phoenix, Wolski has 91 goals and 158 assists.
"We are very pleased to have acquired Wojtek," Panthers executive vice-president and general manager Dale Tallon said in a statement. "He is a skilled forward with scoring ability who will fit in very well to our line-up."
Vernace has split the season between the San Antonio Rampage and the Norfolk Admirals of the American Hockey League, registering two goals and 14 assists in 44 games.
The 25-year-old has played 22 career NHL games with Tampa Bay and Colorado, registering one assist.