Fabio Borini's goal in the third minute was enough to earn the Giallorossi all three points and inflict the second home defeat in a row on Palermo, whose coach Bortolo Mutti will be fearing a call from club president Maurizio Zamparini.
Napoli overcame the absence of star man Edinson Cavani to sweep aside Cagliari in a 6-3 thriller at Stadio San Paolo.
Cavani was rested by Napoli coach Walter Mazzarri ahead of next week's Champions League clash with Chelsea but the home side still possessed plenty of attacking threat.
Marek Hamsik, Paolo Cannavaro, Christian Maggio, Walter Gargano and Ezequiel Lavezzi shared Napoli's goals, with Cagliari defender Davide Astori contributing an own goal.
Joaquin Larrivey scored a hat-trick in reply for Cagliari to enjoy some personal glory, but it could not prevent a humbling defeat.
In Friday night's other game, Inter Milan left it late to beat Chievo with two goals in the last three minutes earning them a 2-0 win at Stadio Bentegodi.
Chievo had frustrated Inter throughout, but just when it looked like they had done enough to earn a point, Walter Samuel headed Inter in front.
Diego Milito, who missed a penalty in the 14th minute, sealed the win in stoppage time to lift some of the pressure from Inter coach Claudio Ranieri.
Saturday's Serie A Results
Friday's Serie A Results