Neil Lennon had been looking for reinforcements for his squad towards the end of the transfer window, but Wisla out-priced the Israeli midfielder from a move to Celtic Park.
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Midfielder Melikson would have replaced the South Korean, Ki Sung-Yueng, who moved from Celtic to Swansea a week before the window closed.
"There's no point talking about what happened with Celtic because the transfer window is now closed," Dahan told reporters.
"Wisla wanted too much money for him. I'm not going to talk about amounts but, I can assure you, the bid from Celtic was well over €1.3m.
"Wisla have financial problems which make it strange they didn't accept the offer from Celtic. So now we look for another club."
Despite the disappointment of missing out on a move to the SPL, Melikson understands that he is contracted to Wisla and will continue to work hard for the Polish club.
"Maor was disappointed with what happened, but he has to accept the decision of the club,” Dahan continued. "He is a professional and if you sign a contract with a club you have to honour it.
"He must be a man and not act like a rabbit or a chicken. Since he has a contract with Wisla, he will play with them 100 per cent."