Sources have told ESPN FC Mourinho was asked about his future in the interview, and after the Portuguese coach directed the question to Arnold, who was standing nearby, United's managing director hugged the 55-year-old and said "well-done".
Mourinho's side lost three of their opening seven fixtures, but escaped from a run of poor results with a 3-2 comeback victory against Newcastle United on Saturday evening.
Old Trafford was rocking in the second half as United fans stuck with their team and, on the whole, under-fire Mourinho.
Zidane has been linked with the manager's post at United, but it seems the board will give Mourinho time to turn around results.
"If I'm honest, yeah, 100% [I could see it turning around], as soon as we came out in the second [half]", he explained to MUTV.
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The former Chelsea manager added: "I think this is not about me, it is about the football club, the club they love and about the club we represent with all the honour and dignity but I'm amazed by that". We created more chances to score more goals and that's a very positive sign. "They had four attackers and it was hard to defend against a very good team".
Pogba provided the assist for Anthony Martial's goal, which drew the teams level, with a clever first-time backheel, while he also had a hand in the victor.
Juan Mata replaced him, and Scott McTominay was interestingly preferred over Bailly, as he moved to centre-half in order to accommodate the Spaniard in midfield.
"First half was hard, but after the half-time rest we came back with everything and definitely that first half helped". We needed to try to be more intense, to create a bit more and that's what we did.
The Red Devils will travel to west London on 20 October as they look to make it back to back wins in the Premier League and try and get themselves back on track after a stuttering start to Mourinho's third season in charge.