McHugh, 20, went on at the start of the second half of the Republic's 2-1 defeat at a freezing Oriel Park in Dundalk.
He made his debut for the Irish Under-21s in last month's impressive 3-0 friendly win over Holland.
McHugh has been a regular for the Bantams this season after making his debut in the Capital One Cup against Watford in August.
He has made a total of 26 appearances, scoring three goals, and played every minute of every game in the club's Capital One Cup run to Wembley.
- Sports & Recreation