United return to action on Saturday against Newcastle in the Premier League (9am).
Solskjaer has a decision to make on who starts as the main striker as top-flight football returns following the international break.
Martial is suspended after being sent off in the 6-1 defeat to Tottenham and Cavani is still quarantining after joining the club.
That leaves Mason Greenwood, Marcus Rashford and Odion Ighalo as the options available to Solskjaer.
It means Cavani could make his United debut against his former side Paris Saint-Germain next Tuesday in the Champions League.
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