The Red Devils have not won the league title since 2013, when Sir Alex Ferguson left Old Trafford after 27 years of being the head coach.
Despite spending a hefty sum of money and hiring the likes of David Moyes, Louis Van Gaal and Jose Mourinho, United are unable to hoist the Premier League title.
With Ole Gunnar Solskjaer now at the helm, Manchester United managed a third-place finish in the Premier League last season but the former Serbia international is yearning for more.
Matic, who recently retired from international football after 12 years with the Serbia national team, says his side must not give excuses and must mount a title challenge.
“From the next season there is no excuse. We have to go with everything,” the former Benfica and Chelsea midfielder explained on the UTD Podcast.
“We have to fight for the title because I felt that this year we dropped some points too easy.”
“We allowed Liverpool to win [the title], I don’t know, 10 games before the season finished. They won the league, so we cannot allow that. We need to fight to the end. We have to play with more confidence, with more responsibility.”
The 32-year-old added: “My personal target is to win the league with United and I am sure that everyone wants to do the same.”
“We have to promise our supporters that we will do our best – exactly what we have done after [the coronavirus lockdown] when we started to play again. That’s Manchester United.”