Las Palmas, perhaps encouraged by Pique’s absence from the Barcelona defence, started with plenty of ambition as Jonathan Viera flashed a 30-yard free-kick wide and Willian Jose had a shot deflected behind.
But Barca only needed six minutes to showcase their ruthless attacking prowess – Andres Iniesta picking Las Palmas apart with a delightful throughball and Suarez matched Jordi Alba’s first-time cross with an impeccable finish.
Alba undid a considerable measure of his good work four minutes later by playing Willian Jose onside to slot home, after a deft backheel by Viera that any of Barca’s feted front three would have been proud to produce.
Momo blazed over on the counter-attack for Quique Setien’s men, who were indebted to Javi Varas when the goalkeeper sprung to his left to keep out Iniesta’s drive from Arda Turan’s cutback.
A boisterous home crowd held their breath when an unattended Suarez headed wide on the end of Lionel Messi’s 28th-minute free-kick, and sympathy was in order for Varas when Barca led six minutes before the break.
Neymar slotted into an unguarded net on the rebound from a phenomenal reaction save off Messi, while Suarez should arguably have been pulled up before skipping around a prone Pedro Bigas to create the chance.
Still, Las Palmas were not discouraged and Roque Mesa flashed wide from the edge of the area following a surging run to conclude a thrilling half.
In response to his team lacking their customary control of central areas, Luis Enrique sent on Ivan Rakitic for Turan.
Varas impressed once more, thwarting Suarez from close quarters – the Uruguay star showing clear frustration by forcefully kicking the post.
That let-off inspired Las Palmas to another promising period of play, during which time they pushed Barcelona back and Willian Jose fired into the side-netting after Claudio Bravo parried Viera’s low 60th-minute effort.
Thomas Vermaelen’s introduction in place of midfielder Sergi Roberto showed Barcelona’s need to take the sting out of an unexpectedly tricky assignment, and lively Las Palmas substitute Sergio Araujo twice came close to snatching a point.
The former Barcelona B player pulled agonisingly wide and then failed to slide in Roque’s chipped pass as the champions unconvincingly hung on.