The Red Devils are preparing to kick off their Premier League campaign when they host Chelsea FC at Old Trafford on Sunday afternoon.
Manchester United finished in sixth place in the table last term and without a trophy after Ole Gunnar Solskjaer was brought in to replace Jose Mourinho back in December.
The Red Devils made three main signings in the summer transfer window after having concluded deals for Daniel James, Aaron Wan-Bissaka and Harry Maguire.
Their main target this season will be to secure Champions League qualification, and former England star Shearer believes that is within their reach, despite admitting that he has concerns about Manchester United’s attacking force.
Speaking in an interview with BBC Sport, Shearer said: “It is six years since United were champions and in that time they have not come close to regaining the title.
“At first it felt strange when they were not contenders, but now we are getting used to it – and it would be a surprise if they got close to City and Liverpool this season after finishing 32 points off the top last time out.
“I have backed them to finish fourth but I have concerns about their firepower after they sold Romelu Lukaku to Inter Milan on deadline day, and did not replace him.
“They have got Marcus Rashford, Anthony Martial, Alexis Sanchez and Jesse Lingard in their attack, and some young talent in Mason Greenwood in reserve, but they do look light up front.”
Manchester United have not won the Premier League title since Sir Alex Ferguson’s final season in charge in the 2013 campaign.
The Red Devils opted to sack Mourinho back in December of last year after a poor start to the campaign left them well off the pace in the race for a top-four finish.
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