Wilshere was then overlooked for the permanent job, with the Canaries appointing Liam Manning, and was also linked to Plymouth Argyle before Tom Cleverley took charge.
Luton, who have suffered back-to-back relegations, have experienced a poor start to the 2025-26 campaign with five defeats from their opening 11 games to leave them 11th in League One.
Wilshere was under-18 coach at Arsenal before joining Norwich and was a contender for the Gunners’ Under-21 role in the summer before withdrawing.
The former midfielder earned 34 caps for England and made 197 appearances for Arsenal, before spells at West Ham and Bournemouth.