The president cited his "many Puerto Rican friends" and the success of two Miss Universe pageants hosted on the island as evidence of his claim.
Leaked online chats between Rosselló and other officials sparked outrage across the U.S. island territory.
After the pop star denounced a bill allowing government employees to avoid serving certain constituents, Puerto Rico's governor withdrew his support of it.
Gov. Ricardo Rosselló's executive order went into effect immediately.
Gov. Ricardo Rosselló raised the official count of those killed by the storm and its aftermath from 64 to nearly 3,000.
A Harvard study released this week estimated more than 4,600 were dead as a result of Hurricane Maria.
Nearly 30 percent of the island's energy customers remain without power.
The island is getting slapped with new taxes as it drowns in debt and tries to recover from a catastrophic hurricane.
Puerto Rico's governor and others said there was food, water and medicine not being distributed.