Burke, who has previously been capped at Under 18 and Under 19 level, started the international fixture with Czech Republic just two days after scoring his first senior goal in City's 2-1 win at Oldham Athletic.
The central defender played for an hour in the match before being replaced by Queen Park Rangers' Cole Kpekawa.
The visiting Czech side ran out 1-0 winners thanks to a first half goal from Jakub Yunis.
Burke is on loan at the Coral Windows Stadium from Premier League side West Ham United.