Crouch was a key member of the Tottenham squad last season playing 47 times, scoring 13 goals as Spurs qualified for the Champions League.
"We had a lot of competition when we brought Peter in and he has done very, very well," said Jordan.
"He is a player that has proved himself at Tottenham."
The England striker is battling with Jermain Defoe, Robbie Keane - who has returned from his loan spell at Celtic - and Roman Pavlyuchenko for a starting berth against Manchester City on Saturday on the opening day of the season.
Keane is another player whose future at Spurs was in doubt but Jordan believes the Republic of Ireland forward has staked a claim to feature again in Redknapp's plans.
"He has been our best player pre-season and scored two at the weekend," said the Spurs assistant boss.
"Robbie has come back [from Celtic] in good nick, has trained well and has played terrific."
Jordan continued: "When we took over under Harry Redknapp, Spurs were in big trouble.
"We had two points from eight games and he made a number of signings. He brought Robbie back and Robbie was a fantastic signing, and we stayed up.
"We have built from that and he has been part of that. He has been so important, not just on the field but in the dressing room as well. He has been a big player for us."
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