In the third round, Norwich played Motherwell and beat them in both legs to set up a contest with local rivals Ipswich Town in the Final.
In the 1976–77 season of the Anglo-Scottish Cup Norwich were the only non-London club in Group 3: Fulham, Chelsea and Orient provided the opposition.
For the third successive Anglo-Scottish Cup, Norwich and Orient would be pitted against each other in a group that also featured Nottinghamshire clubs Mansfield Town and Notts County.
Draws with Mansfield and Orient after a 2–1 away defeat to Notts County saw Norwich again fail to progress past the group stages.
However, English clubs were banned from taking part in European competition in the aftermath of the Heysel Stadium disaster.
[4] Had the usual rules been in place, the club would join Liverpool, Tottenham and 1986–87 Football League Cup winners Arsenal in the 1987–88 tournament.
A 3–0 home win in the first leg and a 0–0 draw away at Nieuw Monnikenhuize were enough to see Norwich through to the second round, where they would face three-time European champions Bayern Munich.
A famous 2–1 win at the Olympic Stadium in Munich was followed up with a 1–1 draw at Carrow Road, ensuring that City would progress to the third round.
Again Norwich would face a former European Cup winner, this time in the shape of Italian club Inter Milan.
The East Anglian club's participation in the competition was ended at this stage as the Nerazzurri ran out one-nil winners in both legs.