Red Devils manager vows to play strongest possible team against Chelsea in the FA Cup quarter-finals.
Clash at Stamford Bridge has been pencilled in for Monday 13 March.
Shaw resigned after admitting he knew about bookies taking bets on him eating a pitch-side pie during FA Cup tie.
Gunners boss has also spoken on the possibility of more first-team opportunities for Lucas Perez.
The 45-year-old goalkeeper may have breached FA betting regulations.
Alderweireld got back to winning ways against Fulham.
Jose Mourinho's side lost 4-0 at Stamford Bridge earlier in October.
Wenger, 67, is under pressure after a run of poor results at Arsenal.
Welbeck played 70 minutes in Arsenal U23 defeat to Leicester City on 19 February.
Both players came off the bench to secure United's place in the FA Cup quarter-finals.
Harry Kane scored a hat-trick as Spurs reached the FA Cup quarter-finals.
Kane, 23, scored a hat-trick to help Spurs beat Fulham in the FA Cup fifth round.
Rashford and Ibrahimovic goals wipe out Danny Graham opener.
Spurs join Chelsea, Middlesbrough, Millwall and Lincoln City in QF draw.
Sutton United could become the second non-league side to make it to the quarter-finals after Lincoln City booked their place on Saturday.
Fulham defeated Tottenham 4-0 the last time the two met in the FA Cup.
Shaw has made just six Premier League starts thus far this season.
Paul Lambert's side are out for another upset.
Sean Raggett's 89th minute winner sealed a famous win at Turf Moor.
Blackburn Rovers host Manchester United in the FA Cup fifth round tie on Sunday.
Wolves have beaten Stoke and Liverpool in the last two rounds of the FA Cup.
Huddersfield are unbeaten in seven games at home.