The 21-year-old played four times at Pride Park before sustaining an anterior cruciate ligament knee injury in October.
It means the forward has been unable to prove his worth to manager Jose Mourinho.
But Wilson, who was given his debut by Ryan Giggs in May 2014, says surgery went well and he is well on the road to recovery.
Manchester United's injury crisis
Mon, March 27, 2017
Manchester United may have injury and selection crisis when the Premier League returns this weekend
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Mourinho faces a possible injury crisis with a number of players unavailable
James Wilson suffered a serious injury playing for Derby in October
"I was hoping that everything went well with the surgery," Wilson told MUTV.
"It was a very simple surgery, Steve Bollen did a great job in doing that. I just know I’m going to be back to what I was before anyway, so I’m just staying positive at the moment.
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"With an ACL [anterior-cruciate ligament], you know it’s going to be like eight months and that pretty much ruled the season out. So, like I say, there is no rush for me.
“There are days when you’re just trying to get through it and keep going, I’d say, but I think I’m at the best club to come back to for the rehabilitation.
James Wilson celebrates scoring for Manchester United in 2014
"The positives are it’s a break and I can kind of work towards things I probably couldn’t do during the season.
“I’m working hard in the gym and that’s something I’ve probably not had the chance to do with games coming thick and fast everywhere.
“I think it has benefited me in that way. But, yeah, it’s very frustrating not to be out on the grass every day, knocking the ball about."