The wantaway striker was left out of the starting XI in both wins over Liverpool and Southampton, amid rumours of a move to Sporting CP or Napoli as he chases a return to the Champions League.
United boss Ten Hag told reporters: “We played with him. So we want him to stay. That is what we want. I hope so.”
Ten Hag reiterated his position when asked if he would be satisfied should United not add to their forwards this week, adding: “We have Cristiano Ronaldo, we have Anthony Martial, we have Marcus Rashford, so then we are okay.”
Ronaldo, who came on for Jadon Sancho, was one of three substitutes Ten Hag made at St Mary's, also swapping Anthony Elanga for new signing Casemiro in the 80th minute and Fred for Christian Eriksen in second-half stoppage time.
Casemiro completed his transfer from Real Madrid on Monday and his new boss was pleased to get him involved.
“I think it was quite good for him to see what the Premier League is [like], its different style,” Ten Hag said.
“He has played some games, he played one time 90 minutes, but he is fit, he had a good pre-season with a lot of training sessions and now we have to integrate him in a team, in a way of play, and integrate him with his teammates.”
Additional reporting by PA.