After Wes Hoolahan had clipped in Simeon Jackson’s cross to put the Canaries in front after 10 minutes, it could have been easy for the top flight’s bottom club to fold.
But the Latics grew into the match and eventually netted a deserved equaliser through a well-taken finish by Victor Moses in the 68th minute and had chances, notably through Hugo Rodallega, to snatch a much-needed victory.
Martinez, whose side remain bottom, but just two points between them and 17th-placed Bolton, said: “You have seen why we are in the position we are in because we cannot really show that little bit of composure or have that bit of luck in front of goal.
“We created enough chances to win and grew into the game. After giving away the early goal, I felt we were really strong, we kept the ball well, and created numerous chances.
“Clearly it was a good performance for us, but only one point to show and that is what we have to rectify from now until the end.”
Javi Gracia said it was always going to be an uphill battle for Watford after conceding so early against Liverpool on Saturday.
Schalke 04 boss Dominico Tedesco paid tribute to goalkeeper Ralf Fahrmann after his 76th-minute penalty save proved crucial in a 1-0 win over Wolfsburg.
Mattia De Sciglio stunned that Juventus were shocked to be held to a goalless draw with SPAL on Saturday.
Sunderland have suspended midfielder Darron Gibson with immediate effect after he was charged with drink driving.
Jose Mourinho's recent bad frame of mind was still present despite Manchester United beating Brighton 2-0 at Old Trafford on Saturday, a result that puts them into the last four of the FA Cup.
Mohamed Salah continued his astounding goalscoring form on Saturday, hitting four goals as Liverpool thrashed Watford 5-0 at Anfield.