Welbeck will play for Under-21s against Brighton while Wenger is hopeful Rosicky has not played his final game.
Arsenal duo Isaac Hayden and Chuba Akpom are on a season-long loan with Championship club Hull City.
The Gunners will face Leicester City, Barcelona and Manchester United during February.
The 49-year-old pundit has accused players of slipping into a 'comfort zone'.
Benik Afobe joined Arsenal as six-year-old in 2001 and came through the ranks before being sold to Wolves in 2015.
Arsenal striker Danny Welbeck has been sidelined for over nine months with a knee injury.
Arsenal had 11 shots on target while failing to score against Southampton, a league high for this season.
The 29-year-old striker was nonetheless frustrated by the goalless draw against Southampton at the Emirates.
Tomas Rosicky was making his first appearance for Arsenal this season before being struck down by injury yet again.
The Gunners were held to a goalless draw at the Emirates Stadium by impressive Fraser Forster.
Midfielder Mohamed Elneny was only major acquisition for the Gunners in January.
Alexis Sanchez is set to make his first Premier League start for Arsenal following his return from a hamstring injury.
Southampton are seeking their fourth consecutive Premier League win when they take on Arsenal on 2 February.
Southampton beat Arsenal 4-0 at St Mary's earlier in the season. Find out where to watch in the UK.
The 19-year-old attacker has looked impressive when given a chance at first-team level.
Arsenal are third in the league, three points behind leaders Leicester City after 23 games.
French boss says Wilshere could return to action within the month.
The French boss also rules out a summer move for Chelsea captain John Terry.
Rosicky made his first appearance of the season against Burnley while Wilshere is yet to feature this campaign.
Serge Gnabry played just 12 minutes of Premier League football since joining West Brom on loan at the start of the season.
Mohamed Elneny was impressive for Arsenal during their latest FA Cup win over Burnley.
Alexis Sanchez and Francis Coquelin made their first starts for Arsenal in over two months during the win over Burnley.