Mr Lyttle was speaking after a late Kyle Lafferty equaliser gave Northern Ireland a draw against Hungary at Windsor Park. It means the team remain the top of Group F with two matches remaining. A win against Greece or two draws in their final games will see the side reach the finals in France automatically.
“Northern Ireland’s never-give-up spirit has ensured the dream of reaching our first-ever European Championships is still alive,” said Mr Lyttle.
“It is a tribute to the manager, the team, the team behind the team and the best fans in Europe, who have inspired a community with their efforts in this campaign and over many years of dedication to improving local football.
“Hard work and passion on and off the pitch is contributing to something special for the Northern Ireland and I will be joining thousands of others in cheering the team on to get the job done.”