Rosenior managed Hull before joining Strasbourg, but failed to guide the Tigers into the Championship play-offs during his tenure and was sacked at the end of the 2023/24 season.
National League North side Macclesfield will host Premier League opposition once more after being drawn against Brentford.
The lowest-ranked side left in the competition beat reigning champions Crystal Palace 2-1 in the third round and will be hoping for another giant-killing.
Elsewhere, Liverpool will face Brighton after winning their third-round clash with Barnsley, and Leeds have been handed another tie against Championship opposition in Birmingham.
Arsenal will host Wigan, while Manchester City are set to welcome either Salford or Swindon and there will be an all-Premier League clash as Aston Villa face off against Newcastle
The fourth round will take place around the weekend of Saturday, February 14th.
Full FA Cup fourth round draw:
Liverpool v Brighton
Stoke City v Fulham
Oxford United v Sunderland
Southampton v Leicester City
Wrexham v Ipswich
Arsenal v Wigan
Hull City v Chelsea
Burton Albion v West Ham
Burnley v Mansfield Town
Norwich City v West Brom
Port Vale v Bristol City
Grimsby Town v Wolves
Aston Villa v Newcastle
Manchester City v Salford or Swindon
Macclesfield v Brentford
Birmingham City v Leeds