The Gunners boss announced last week that he will stand down as the north London club’s manager at the end of the 2017-18 season.
Wenger’s side are in sixth place in the Premier League table and a long way behind Tottenham Hotspur, who occupy the final Champions League spot.
Manchester United, on the other hand, are in second place in the English top flight and will take on Chelsea FC in the FA Cup final at Wembley.
The Red Devils boss has shared a fractious relationship with his Arsenal rival during two spells at Chelsea FC before his appointment at Manchester United.
Mourinho famously branded Wenger as a “specialist in failure” during his second stint in charge at Chelsea FC before the pair clashed on the touchline at Stamford Bridge.
However, the Manchester United manager’s stance on Wenger appears to have softened after the Portuguese head coach highlighted his desire to become friends with the Arsenal boss.
“If he respects me even 50 per cent of what I respect him we can even be friends in the future,” Mourinho told Sky Sports News. “I have lots of respect for him.
“But the reality is that he was at Arsenal, he was the champion and I came to the country in 2004 and wanted to steal his title. That’s football.
“But in the end I respect him a lot, I tried to show that in the past couple of years there were no more problems at a different stage of my career with a different profile.
“I feel sorry that after Sir Alex Ferguson – but it was obviously Sir Alex’s decision [to leave] – the next big one, the next iconic one is leaving the Premier League.”
Manchester United will take on an Arsenal side under the management of Wenger for the final time at Old Trafford on Sunday afternoon.
The Red Devils were 3-1 winners against Arsenal at The Emirates back in December.
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