The Welsh outfit have lost their last four in the GUINNESS PRO12 but Navidi insists they can halt that run at BT Sport Cardiff Arms Park this weekend.
"The fans have been right behind us all year and we thank them for that. They have been fantastic and we want to put a smile on their faces," Navidi told the Cardiff Blues website.
"It's been a difficult and long year for us. Nobody is hiding from that. A lot has happened but hopefully we can finish on a positive. Hopefully we can get the win and sign-off properly."
However the 24-year-old, who has made 20 appearances so far this season in the GUINNESS PRO12, knows Zebre will also be vying for the points.
"Zebre have got a lot to play for - we are well aware of that," added Navidi. "They are chasing a place in the top European competition so will have plenty of motivation.
"They want to overtake Treviso, but it's a home game for us and the last game of the season. We have plenty to play for and will come out firing."
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Guinness PRO12 Blues News
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