In other results, Fenerbahce Turkey beat Dynamo Kyiv 2-1 while Roma suffered a 1-2 defeat against Ludogorets Razgrad.
Ukraine are on a seven-game unbeaten run following their quarterfinal elimination to England at the European Championship last year.
Arsenal are with PSV Eindhoven, Bodo/Glimt and FC Zurich in Group A, while Manchester United are in Group E along with Real Sociedad, FC Sheriff, Omonoia Nicosia.
The FIFA has said that Ukraine’s Qatar World Cup qualifying match against Scotland will be organised in June.
Ukraine are two games away from qualifying for the World Cup 2022, starting with a match against Scotland — which was postponed following Russia’s invasion.