Deontay Wilder was in line for a rematch with Brit Tyson Fury, who took the WBC world title from the American in February with a technical knockout win in Las Vegas.
However, Fury said last month he had "moved on" from a third fight with Wilder.
Asked on the Last Stand Podcast who he wanted to fight next if that was the case, Wilder listed former WBO world champion Parker as one of five opponents he was interested in.
