Zamora, making his first league start in seven months since breaking his leg, scored twice in five minutes in the middle of the first half in a victory that lifted Fulham to 10th and left Blackpool in 17th, one point above the drop zone.
His opener was a sizzling right-footed shot into the roof of the net and his second a back-header after a pinpoint free kick from Danny Murphy from the right.
Fulham, who have not lost at home in the league this year, dominated throughout and added a third in the 72nd minute when Dickson Etuhu tapped in a square ball from Brede Hangeland after Clint Dempsey had hit the post with a header.
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Blackpool's best chance came just before halftime when Brett Ormerod headed past onrushing keeper Mark Schwarzer but he was denied as Chris Baird headed off the line, while James Beattie also hit the post for the seasiders.
With the pre-match controversy over the unveiling of a Michael Jackson statue at Craven Cottage and an impersonator of the late singer strutting his stuff in the stands, the most appropriate soundtrack to Blackpool's situation might be: "Bad."
Later on Sunday, Manchester City will seek to leapfrog Chelsea into third place when they host Sunderland. Roberto Mancini's side have 53 points from 30 games, with champions Chelsea two points ahead.
Leaders Manchester United went seven points clear after coming back from two goals down to beat West Ham United 4-2 on Saturday while second-placed Arsenal were held 0-0 at home to Blackburn Rovers.
