AN ERJ FLT CREW PUSHED BACK FROM GATE WITHOUT A CLRNC AT CLE; OH.

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AT CLE; THE ARPT PAGES SHOW A NON MOVEMENT AREA BOUNDARY. ALSO; IT SHOWS DIRECTIONS FOR WHO AND WHEN TO CALL FOR PUSHBACK. AT THE GATE; WE PARKED INSIDE THE NON MOVEMENT AREA AND N OF THE AREA; WHICH SPEAKS OF CONTACTING GND FOR PUSHBACK. THEREFORE; WE PUSHED BACK AND THEN CONTACTED GND. GND WAS OBVIOUSLY MAD AT OUR PUSH; AND NOT CALLING THEM FIRST. I STATED IT APPEARED TO BE A NON MOVEMENT AREA AND WE APOLOGIZED. HE STILL WAS UPSET. THE REMAINDER OF THE TAXI AND FLT WERE UNEVENTFUL. WORRIED ABOUT A VIOLATION; I CONTACTED THE LCL TWR UPON ARR. AT THAT TIME; NO DEV WAS FILED BY THE TWR. HOWEVER; AFTER TALKING TO THE GND CTLR ON THE PHONE; THE X GATE AREA IS ACTUALLY SUPPOSED TO CALL DUE TO THE PROX OF GATE Y. NEXT TIME AT CLE; I WILL CALL GND CTL FOR ALL PUSHBACKS. I RECOMMEND A CHANGE TO THE COMPANY COMMERCIAL PAGES TO REFLECT THIS. CONTRIBUTING FACTORS WERE THE ARPT DIAGRAM PAGES AND A PREVIOUS STATEMENT FROM CLRNC DELIVERY; 'CONTACT ME AFTER PUSH FOR OFF LINE.' I MISINTERPED THIS TO MEAN; PUSH AT YOUR DISCRETION; THEN CALL ME.