The Hammers signed Andy Carroll from Liverpool on a permanent deal after he spent much of last season on loan at Upton Park, but the England international is currently out with a heel problem.
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"I think it's clear that we are still short of a striker," the club's co-owner Gold told Sky Sports.
"David Sullivan agrees with that, Sam agrees with that, but until we release those wages by players leaving, there is little we can do.
"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.
"The next couple of weeks, we will see what happens."
In addition to Carroll, the east London club have so far signed winger Stewart Downing from Liverpool and left-back Razvan Rat from Shakhtar Donetsk.