The East London side are moving to the Olympic Stadium next season after 112 years at Upton Park.
Their final home match is against Manchester United next Tuesday, and Gold and Sullivan have asked supporters to remain in their seats after the final whistle so as to not interfere with the post-match plans.
"We want it to be an evening that is ultimately about you, our loyal supporters, as it is you who have made the Boleyn Ground famous the world over," the co-chairmen said on the club website.
"But to make it special we need your support. Any incursions on to the pitch will certainly mean cancelling the current squad's richly-deserved lap of appreciation and denying some of our greatest ever players the chance to take the field for the final time.
"That would be a tragedy; for them and the Boleyn Ground. If we can present the post-match ceremonies as planned, we are sure you will walk away from Upton Park on Tuesday prouder than ever of the club you support."
Around 450 former players have been invited to help mark the occasion with a special closing ceremony.