Reports around a Saudi takeover of United once again arose this week, with suggestions Crown Prince Mohammed bin Salman would be interested in buying the Old Trafford club.
But Woodward has claimed the American owners would be uninterested in such a proposition.
"Based on what I see, they're in it for the long term," Woodward told the United We Stand fanzine of the Glazers.
"With regards to offers or asking prices, my understanding is that there have been no discussions for a price for the club or anything like that. Every conversation we have is based on the long-term.
"The debt is a long-term, structured and similar to some other football clubs. It's a fixed amount for a fixed period of time which results in it being fairly cheap to service. It's just under two per cent of our annual revenue each year, so it doesn't really have any impact on us.
"If you look at the way the approach changed under the Glazers for commercial activity, that has brought in an extra £2.5-£3 billion. We have spent a lot of money on players.
"We are financially strong. We are self-sustaining. We don't have an umbilical cord that we are concerned about. There's negativity about us doing sponsorship deals but they allow us to do things in the transfer market which other clubs struggle to do.
"We absolutely feel we are on the right track to getting back to winning trophies."