The Hammers have landed Andy Carroll on a permanent deal this summer, but the England international is currently sidelined with a heel problem.
Modibo Maiga is the only recognised senior forward on the books at Upton Park who is fully fit at present, and he started Saturday's 2-0 victory over Premier League new boys Cardiff City.
Sam Allardyce would welcome the opportunity to bolster his ranks before the transfer window slams shut, but he has reached his limit in terms of player salaries.
That means he must free up his own funds, with Gold revealing that players must be moved on before any more can be brought in.
He told Sky Sports News: "We have reached our target laid down by the new rules in terms of wages.
"The only possibility now is if players are sold. That's up to Sam, that's in his hands. If he releases wages, that will give us the opportunity to bring in replacements for those players.
"I think it's clear that we are still short of a striker. David Sullivan agrees with that, Sam agrees with that, but until we release those wages by players leaving, there is little we can do.
"The next couple of weeks, we will see what happens."