Solskjaer was unhappy when Son went down holding his face after being fended off by Scott McTominay in the build-up to an Edinson Cavani goal which referee Chris Kavanagh controversially ruled out after a VAR intervention.
The incident did not matter too much as after Son, who was later racially abused on social media, then put Spurs in front, United hit back in style after the break as goals from Fred, Cavani and Mason Greenwood gave them the points.
"Edinson has been working so hard to get fit and we can see the boys played to his strengths as well.
"We have had open and honest meetings and it's no secret we want to keep him. I don't think it is any secret that this has been a difficult year for everyone.
"With the pandemic, it has not been possible to have friends over, you can't have family over without quarantine. He has not been able to experience the fantastic culture of Manchester and England and he is contemplating and thinking long and hard about what he wants to do.
"I understand. He knows what we want, I want him at Old Trafford in front of a full Stretford End scoring a header like today. Let's wait and see."