Thomas Tuchel’s side last played in the top flight almost a month ago when they defeated Tottenham, and have had a week’s rest since winning the Club World Cup last Saturday.
The World Champions mark their return in the Premier league as they are hosted by Crystal Palace at Selhurst Park.
Guaita had made good saves in the first half from N’Golo Kante’s effort and Antonio Rudiger’s long range thunderbolt, before the Palace goalkeeper was taken off at half-time because of injury.
Meanwhile, the host did not register a single shot on target in the entire contest both Michael Oliseh and Wilfried Zaha failed to defeat Edouard Mendy from promising positions.
Moroccan Ziyech had scored an opener earlier in the second half when he swept home following Jack Butland’s save, but Romelu Lukaku was adjudged to be offside by VAR.
Ziyech scored for the second time in the last minute to see Chelsea edged past Crystal Palace on their return to Premier League action.
The Blues maintain their spot in the premier league table staying 3rd with 50 points and a game at hand.