Note: Flags indicate national team as defined under FIFA eligibility rules; some limited exceptions apply.

Source: Liga I Win Draw Loss CFR Cluj entered the Cupa României at the Round of 32.

As winners of the 2019-20 Liga I, CFR Cluj entered the Champions League at the first qualifying round.

CFR Cluj was drawn to play against Maltese champions Floriana.

CFR Cluj was drawn to play against Croatian champions Dinamo Zagreb.

CFR Cluj was drawn with Roma, Young Boys and CSKA Sofia.