Yes — fresh coconut flesh is safe and parrots enjoy it, but it's high in fat, so it's an occasional treat rather than a staple.
Keeper's noteA chunk of fresh coconut in the shell is a brilliant boredom-buster for big parrots. Coconut water (plain, unsweetened) is a safe occasional drink-sip too.
What to watch out for with coconut
Fresh or unsweetened dried coconut is non-toxic and offers fiber and minerals, but it's calorie- and fat-dense. In moderation it's fine; in quantity it adds up fast for a small bird. The hard shell also makes a fantastic foraging challenge. Sweetened shredded coconut, however, is best skipped.
How to serve it
Fresh flesh or unsweetened dried, in small amounts.