The former Tottenham star has been out since February 9 with knee ligament damage and the further aggravation of hamstring trouble, but now skipper Sol Campbell (hamstring) is a major doubt for the final Barclays Premier League game of the season at home to Fulham.
"Noe is obviously short of match fitness but he did okay in the reserves the other night," said Redknapp. "Cover for our centre-backs has been a problem but he would certainly be able to provide it."
Although he could switch Hermann Hreidarsson from left-back to partner Sylvain Distin in the centre - and it worked well last time out when Pompey beat Aston Villa 2-0 - Redknapp admitted: "I don't really like putting two left-footed players together at centre-back.
"And I won't take any risks with Sol less than a week before an FA Cup final. Only if he tells me he is 100% fit on the day will I play him against Fulham."
Pamarot, who has featured 21 times in the first-team this season and was on a run of six consecutive appearances when injured at Bolton, admits he is still targeting the final.
He said: "For me, it was very important to get through the 90 minutes in the reserves.
"It was also against Fulham and I managed to cross the ball for our winning goal in the last minute.
"Now maybe I can use a Fulham match again to show I can be in the Wembley squad. I'm fine. I don't feel the injury at all now. I have done a lot of running sessions to get fit."