But while Maurizio Sarri's men looked to have settled into the game, they failed to press home the advantage and were made to pay seven minutes into the second half.
Chelsea boss Sarri will equal the 11 Premier League matches without defeat that Clark racked up as the new manager of Nottingham Forest back in 1994, should the Blues avoid defeat at Stamford Bridge this weekend.
The Spaniard's form is a real positive for a Chelsea side that has perhaps been over-reliant on Hazard's brilliance this campaign. And with Liverpool facing the Gunners on Saturday evening, this could present a chance for Chelsea to overtake the Reds if things go their way.
After joining Chelsea in August 2012, Moses was farmed out on loan to Liverpool, Stoke City and West Ham United before the arrival of The Blues' former manager, Antonio Conte.
FW Willian, 6 - This was his 11th start in a row and while he generally looks more unsafe cutting in from the left flank, there was a noticeable lack of pop and imagination in his play against Palace's massed defensive ranks. However, since 2015/16, Zaha has been booked four times for diving in the Premier League, more than any other player. Eden Hazard is likely to return to the side, whilst Wilfred Zaha should be back for the Eagles after knocking his shoulder against Arsenal.
In the middle of the park, the only sticking point is the choice between Mateo Kovacic and Ross Barkley.
Up ahead in attack, the good news is that Eden Hazard is available.
Crystal Palace have become somewhat of a bogey team for Chelsea, winning two of the past three games at Stamford Bridge.
But it should be Chelsea's game if the Sarri system continues to roll on, with another performance from the Blues similar to the one they showed against Burnley last time out.
FW Alvaro Morata, 8 - Seems to have rediscovered his instinctive touch in the penalty area and took his tally to five goals in his last six Chelsea appearances in all competitions. Only top of the league Manchester City (27) have managed more.
Chelsea scored with their first shot on target. We need to press in the opponents half.