Arsene Wenger’s side, hoping to become the first club to win the trophy three times in a row since Blackburn Rovers in the 19th century, should have little to worry about even in a competition renowned for upsets.
Crystal Palace’s home tie against Stoke City was the only definite all-Premier League tie, although Liverpool will play West Ham United at Anfield if the Reds beat fourth tier Exeter City in a replay after Friday’s 2-2 draw.
The ties are due to be held between Jan 29 and Feb 1.
Wealthy Manchester City will travel to last season’s runners-up Aston Villa, currently rooted to the bottom of the Premier League, or fourth tier Wycombe Wanderers depending on the outcome of a replay.
Louis Van Gaal’s Manchester United will have to travel to Championship side Derby County.
Premier League champions Chelsea, four-times Cup winners since 2007, are also waiting on a replay before knowing whether they face a trip to fourth tier Northampton Town or Championship side Milton Keynes Dons.
The winners of the third round replay between high-flying Premier League rivals Tottenham Hotspur and Leicester City, who drew 2-2 on Sunday, will travel to League Two (third tier) Colchester United.
Giant killers Oxford United, who beat Premier League Swansea City 3-2 on Sunday, have a less glamorous home tie to fourth tier rivals Newport County or second tier Blackburn Rovers — manager Michael Appleton’s previous employers.
Minor league Eastleigh, the lowest-ranked club remaining in the draw who performed heroics in a 1-1 draw against four times winners Bolton Wanderers, were handed the appetising prospect of a visit from Leeds United if they make it through the replay.