Madueke, who joined the club from Chelsea in July, has netted three times in two Champions League matches - the first in a 3-1 win over Bayern Munich last month following his return from a knee injury.
Mikel Arteta said Arsenal's deeper squad was helping the Premier League leaders cope with their "worst" run of injuries as he prepares for Wednesday's match against Brentford.
England needed an own goal to open the scoring in a 2-0 win over Andorra in a World Cup qualifier on Saturday before Declan Rice made the result more respectable as they failed to sparkle against the tiny principality ranked 170 places below them.
England winger Madueke hauled Chelsea level but the hosts couldn't find a winner despite their numerical advantage in the closing stages.
Noni Madueke hit a hat-trick as Chelsea crushed Wolves 6-2 to give Enzo Maresca his first Premier League win as Blues boss, while Newcastle rescued a controversial 1-1 draw at Bournemouth on Sunday.
Chelsea boosted their chances of European football next season, thumping West Ham 5-0 in the Premier League, with Cole Palmer, Conor Gallagher, Noni Madueke and Nicolas Jackson, with two, all getting on the scoresheet on Sunday.
Chelsea completed the signing of Noni Madueke from PSV Eindhoven on Friday to continue a remarkable spending spree.
Chelsea completed the signing of Noni Madueke from PSV Eindhoven on Friday to continue a remarkable spending spree.
