Rashford is under contract at Manchester United for another 12 months beyond the summer with negotiations ongoing.
But interest from United’s Champions League quarter-final opponents Barcelona has led to fears he could quit Old Trafford.
United have, though, been put back on course since Ole Gunnar Solskjaer replaced Jose Mourinho at the helm.
And Neville can see Rashford being part of Solskjaer’s plans going forward, even if Real Madrid targets David de Gea and Paul Pogba could go as he remodels his squad
“[Solskjaer] needs big money unless they can cash in on someone who is worth big money – there’s David de Gea and Paul Pogba, who is reportedly being courted by Real Madrid,” Neville told Sky Sports.
“The two I’d be worried about are De Gea and Marcus Rashford. There’s talk about both of them not signing a new deal but I think Rashford will sign, that’s not in doubt.
“They will have to throw money at it. However, it’s not as bad as everyone makes out.”
Neville, like many others, believes new permanent United boss Solskjaer could benefit from a director football to help him bring in the players wants to his reinforce his squad with.
He continued: ”Ole Gunnar Solskjaer’s job is to coach the team. He identifies which players he wants and the club gets the maximum value for the players going out and they bring in the right players.
“It’s a turf war out there: agents, recruitment guys, consultants and clubs like Real Madrid are looking to rebuild and invest heavily.
“To get four or five players that you want and get the four or five you want out is a big, big job.
“My concern is for Ole is: who is going to do this for him? That person might be there already but it’s a bit of an abyss in terms of the recruitment side of things.
“I don’t know who at the club could navigate the job that needs to be done to put Manchester United into championship territory.
“It’s a two-year job to turn that squad into one that can win the title.
“I don’t think they’ll get everyone in they want and I don’t think they’ll get the ones out – it will take two years and plenty of patience.”
Manchester United will be back in action on Wednesday night, welcoming Barcelona to Old Trafford in the first leg of their Champions League quarter-final tie.