Coquelin admits it is a "massive blow" but says Arsenal must stay positive and focus on beating the Baggies on the final day of the season.
"When you come back to 3-2 at home you expect to hold the result, and it didn't happen so obviously the whole team is really disappointed," he told Arsenal Player.
"We played better in the second half and scored two goals, but fair play to Norwich, they didn't give up and got the equaliser. We're battling for third, but this was a massive blow.
"It is not down to us now, we just need to focus on West Brom and try to claim the three points.
"We need Tottenham and Newcastle to drop points, but we will give 100 per cent until the end of the season. We have one last game and we need to win."