Luton are considering an appeal after being fined £50,000 and deducted 10 points after being found guilty of misconduct over payments to agents.
The Football Association found the club guilty of paying agents via a third party, but not of paying bungs.
The club's soon-to-be new owners said the fine showed the behaviour of their predecessors was unacceptable.
But they said they were disappointed the FA had not considered the change in the club's circumstances and ownership.
"The FA is completely correct to show the football world that the type of behaviour demonstrated by the past management is totally unacceptable," said a statement from the LTFC2020 group.
We are very disappointed that the FA has not taken into account the current plight of the club
"That decision makes no difference to our commitment to being the next custodians of the club. The plans Mick Harford has for squad regeneration are completely unaffected.
"We are very disappointed the FA has not been able to take into account the current plight of the club and the fact it is soon to be under new ownership.
"To punish the club and the fans in the future with a points deduction, while the perpetrators get away with just light fines is hugely disappointing.
"The scale of the deduction is unbelievable when it is clear the people found guilty are no longer at the club.
"Who, exactly, does the FA think they are punishing?"
Former chairman Bill Tomlins has been banned from football for five years and fined £15,000.
Three other ex-directors have also been punished and six agents warned.
Linear Mode
