Jackie Presser moved into his new office as president of the Teamsters union yesterday, received telephoned congratulations from President Reagan, hosted a lunch for Secretary of Labor Raymond J. Donovan and predicted that his union will become "much more involved with the government."

Meeting later with reporters at Teamsters headquarters near the Capitol, Presser volunteered the information that, over the roast beef, his luncheon guest gave him some "kind advice" and "he also gave me a couple of little boots here and there, but I'm big enough to take that and I understand what he's saying."

Neither Donovan nor Presser would elaborate on the subject of the "little boots," but the administration has been at odds with the union over its image of corruption and links to organized crime, and particularly over an administration-backed bill in Congress that would force union officials to leave their positions at the time of any convictions rather than waiting through an appeals process.

The bill was not discussed at lunch, they said. "Mr. Presser knows my position on that very clearly, as does the world," said Donovan.

Said Presser, "The bill should not be written to identify just labor officials. We think it should be written to recognize any persons who commit a crime should be treated in the same manner; not one one way and another, another way."

Presser succeeds Roy Lee Williams, who retired under a court agreement to stay out of prison while he appeals a conspiracy conviction.