They also had a glorious chance to hand City their first defeat of the season, with Milivojevic missing a penalty in injury-time.
Despite failing to score for the first time in 21 league games, City remains well ahead of the pack.
Manchester City failed to win a Premier League game for the first time since August, bringing an end to their 18-game winning run.
He is now doubtful for City's next game against Watford on January 2, while Jesus may not return until March.
The manager could be satisfied that during the opening 45 minutes his players stuck to the prescribed plan to the extent that by the half-time break, the frustration among Guardiola's players was plain to see.
Eagles skipper Dann was carried off on a stretcher in the 17th minute of a feisty clash that also saw Palace midfielder Jason Puncheon helped off the pitch while City lost attackers Gabriel Jesus and Kevin de Bruyne to injury.
While Chelsea and Manchester United trail City by some distance, they may see a small light at the end of the tunnel in a title race that appeared to be all but over before the turn of the year.
Needs must and, with Sanchez eligible to play in the Champions League, it seems inconceivable that City will now not make an attempt to sign him this month.
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Blaming the PCC for mismanagement at the party's office gate, Kumari added, "I can only blame myself for the unsavoury incident". The review meet headed by Rahul Gandhi was called in to discuss the reasons for the defeat in the state.
Guardiola had already expressed concerns Jesus could be ruled out for up to two months when he said: "Gabriel will be out for maybe a little more than one month". West Brom had two more days' rest than Arsenal from its last game.
There are then FA Cup and Carabao Cup ties against Burnley and Bristol City respectively before City travel to Liverpool on January 14.
Sergio Aguero will comeback into the side to replace Jesus and Sterling will look to continue his strong goal scoring form as the Citizens take on a struggling Watford team.
Once injuries begin to drain the squad, fatigue can set in among those players left standing, with the physical toll truly beginning to tell in April and May, when batteries begin to run on empty.
The draw preserves their unbeaten league status this season and takes them 14 points clear at the top of the table - the biggest gap between the leaders and the chasing pack at this stage of the season in top-flight history.
Wayne Hennessey was the first Crystal Palace goalkeeper since Nigel Martyn in May 1993 to keep a Premier League clean sheet against Man City. "But players could be out for a long time and they don't deserve that".
It is all "ifs" right now, but the chasing pack did not even have those to cling to before the Crystal Palace game.
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