The Philippine government, increasingly concerned about demonstrations staged by supporters of ousted president Ferdinand Marcos, is no longer insisting that he remain in the United States, State Department officials said yesterday.

In the past, Manila has sought to have Marcos stay in the United States in the belief that it would help the Philippine government in recovering what it considers to be Marcos' "ill-gotten" wealth. Marcos and his family have been living in Hawaii since he fled the Philippines in February following a popular revolt that brought Corazon Aquino to power.

But in the past week, there have been indications from Manila that Philippine government officials are "softening their position about his move to a third country," said a State Department official. The Reagan administration has also stepped up its public criticisms of Marcos for using his Hawaiian exile to foment dissent against the Aquino government.

"Part of the concern appears to be out of concern about his manipulation of and access to media and communications, making phone calls to Manila and sending back cassettes," said an official. "I think they feel that if he is farther away, it would reduce his ability to use communication facilities to complicate their lives."

Secretary of State George P. Shultz said on his Air Force jet flying from Hong Kong to Singapore yesterday that the United States would like Marcos to live elsewhere.

"Marcos has on a number of occasions expressed his desire to leave the United States, and we don't have any desire to have in our country people who don't want to be there," he said.

In other developments yesterday, a federal appeals court in San Francisco temporarily froze at least $8.8 million in assets Marcos brought to Hawaii.

The action brought to at least $363 million the amount of Marcos' assets frozen in the United States.

In another court action, involving Marcos' daughter and son-in-law, a federal appeals court in Richmond, Va., said that a person cannot refuse to testify before a grand jury because his testimony may incriminate him in a foreign court.

The couple, Irene and Gregoria Araneta, were cited for contempt last week for refusing to testify before an Alexandria grand jury. They argued that their testimony could be used against them in the Philippines.