The England striker, 29, is being chased by Liverpool and Birmingham, but Bowen blasted claims that the club are yet to open talks with Zamora over a new contract.
Going nowhere: Bobby Zamora has rediscovered early career form since moving to Craven Cottage
His current deal runs until 2012, and Bowen said: 'What I know is that he is currently in discussions with the club over a possible new deal. It has been ongoing for a few months and obviously way before Mark and I came in.
'But my understanding is that we are hopeful that Bobby will agree a long-term contract with the club.'
Blackpool 2 Fulham 2: No sign of Holloway's hurricane blowing outFulham 6 Port Vale 0: Adams suffers nightmare return to Craven CottageZamora determined to make up for lost time after impressive England debut FULHAM FC