Bellew's chirpy promoter Eddie Hearn quickly suggested a fight against WBO champion Parker or WBC champion Deontay Wilder were the juicy options for his fighter after the surprise 11th round knockout of former world champion David Haye on Sunday.
Parker has a defence against Britain's Hughie Fury to negotiate first, with that fight set for New Zealand on May 6, but the Kiwi's promoter, David Higgins of Duco Events, admitted Bellew now had genuine appeal further down the line.
"Bellew is quite a big deal in the UK now," Higgins told Fairfax on Monday.
