Speaking on the City A.M. Unregulated podcast, the multimillionaire founder of Ann Summers said the pair would welcome investment into the club as it moves into the Olympic Stadium next year but were not ready to relinquish control.
"I know that David Sullivan and my father David Gold absolutely love West Ham," said Gold.
"Yes, I am sure that they would welcome investment but they absolutely love this club and I have never heard of any plans to be selling it off."
West Ham — one of only eight Premier League clubs with English owners — begin their £2.5m per year tenancy of the £700m Olympic Stadium next year, a move which will boost the club's value far beyond the £105m Gold and Sullivan paid for it in 2009.
Jacqueline Gold's comments echo those of Sullivan who said last year: "We might sell a minority shareholding to clear our debts, but in all probability our kids will take over from us. We love West Ham, we're not going anywhere."
Click here to listen to full interview with Gold in which she explains how she transformed the business from four shops to more than 140 locations - as well as her setbacks, including the time she received a bullet in the post.