Donovan impressed while on loan at Everton last season and has admitted he would be keen on a return to the club.
But Everton are unable to afford Los Angeles Galaxy’s £11million asking price for the highly-rated forward.
“Don’t you think I’ve asked my chairman (Bill Kenwright) to make it happen?” said Moyes.
“We’d love to have Landon but he looks too expensive for us and we just don’t have it.
“We don’t have the finances. The price the MLS want for him is very big and it’s an additional problem because of his age.
“All we’ve done is spend £1m on Magaye Gueye so far. Jermaine Beckford and Jan Mucha were free, so we’ve spent no money by Premier League standards and will probably be the ones who spend the least this season.”