"Chelsea are one of the teams that rotate their playing squad and it could take several years, if at all, before such monies become payable.
"By turning down Chelsea's final offer we can hopefully put this behind us and concentrate on maintaining our position of fourth place in the Premiership."
Charlton had already turned down a similarly structured deal with a £7m down payment and considered both to undervalue Parker.
Chelsea have apparently indicated they will not be returning with a better offer but after making three bids for the 23-year-old since last summer that looks little more than a negotiating ploy.
Charlton manager Alan Curbishley and chairman Richard Murray are keen to hold on to their star player and hope to convince him that he is better off staying at he club.
The club took the unusual step of putting out a statement last night in the hope of drawing a line under the episode.
Fulham's recent experience with Louis Saha's impending £12m transfer to Manchester United indicates it might not have the desired effect.
But it said: "As Chelsea made it clear this was to be their final offer, the Addicks now consider the matter closed and that Parker will remain a Charlton player."
Varney added: "The board unanimously felt that both £7m and £7.5m were unacceptable offers for the best young midfield player in the country."
Curbishley's side have a free weekend looming and Parker returned to training yesterday after being dropped for the 1-0 win at Everton last Saturday because the manager considered him too unsettled.
But the player who is a graduate of the club's academy is still unhappy that the transfer has been blocked.
"It has been an unsettling period both for us and Parker, and brought us unwanted added pressure at a time when the focus should be on the excellent achievements we have made on the field," Varney said.
