The Red Devils began life without Jose Mourinho with a resounding 5-1 victory at Cardiff on Saturday as they won their first game under interim boss Ole Gunnar Solskjaer.
Manchester United currently find themselves in sixth place in the Premier League table as they look to try and break back into the top four before the season is out.
The Red Devils are clearly going to have an uphill task if they are to successfully break back into the top four this term and qualify for the Champions League next season.
However, Manchester United defender Shaw seems to feel that the Red Devils will indeed be able to break back into the Champions League spots before the season is out.
Speaking in an interview quoted by BBC Sport, Shaw said: “Of course we want the top four; we want to be playing in the Champions League next season.
“I don’t see why we can’t if we keep playing like that.”
Asked about Mourinho’s sacking, Shaw continued: “People might be quick to forget what Jose did for United – the three trophies he won – he did a lot.
“One of the trophies [Europa League] was one we had not won before, and he took us to three trophies in one season. So those people need to respect him and remember what he did.”
Manchester United will return to Premier League action on Boxing Day when they take on Huddersfield Town at Old Trafford.
The Red Devils ended last season without a trophy when they finished second under Mourinho, who was eventually sacked by Manchester United last week.
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