Beckford, Lindegaard and Makienok to leave PNE
Lilywhites manager Simon Grayson announced the news after Sunday's 1-0 defeat to Wolves at Molineux.
Beckford and Lindegaard are out of contract in June and have only had limited involvement this season.
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Hide AdMakienok will return to Italian club Palermo at the end of his season-long loan.
There was a last appearance in a PNE shirt for Beckford as a 66th minute substitute against Wolves.
He first joined the club on loan from Bolton in November 2014, scoring 18 goals that season including a hat-trick in the play-off final against Swindon at Wembley/
In the aftermath of Wembley, Beckford moved to North End on a Bosman, signing a two-year contract.
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Hide AdNeither Lindegaard or Makienok were involved in the match-day squad at Wolves.
Grayson said: "Jermaine will leave the football club along with Anders and Simon.
"I thank them all for their efforts, we wish them well.
"Simon will go back to Palermo and Anders will be freed, they are the only decisions that we really have to make."