The Glaswegian looked set to miss the Auld Enemy clash when he injured his ankle ligaments against Stoke last month.
The former Livingston player’s inclusion in Strachan’s squad defied the predicted time-frame for his recovery and his display from the bench against Virgil van Dijk and Co indicated the Scots gaffer should have no fears about starting him against the English.
Snodgrass swept home his fourth goal of the season before teeing up defender Michael Dawson for what proved to be Hull’s winner.
Strachan will also be able to call upon skipper Darren Fletcher after he came through West Brom’s 2-1 win at Leicester unscathed.
James Morrison, another player in contention to start at Wembley, scored the Baggies’ first goal as they defeated the defending Premier League champions.
Lee Wallace emerged injury-free from Rangers’ 1-1 draw at Ross County while Stephen Kingsley, his rival for the left-back slot, also getting 90 minutes in Swansea’s 3-1 defeat at home to Manchester United.
Former Nottingham Forest prospect Oliver Burke appeared as a 69th-minute substitute as RB Leipzig beat Mainz 3-1 to go behind Bundesliga leaders Bayern Munich on goal difference.