After Galette met with renowned surgeon Dr. James Andrews on Monday, it was determined that rest and relaxation were all the five-year veteran would require.
Galette, 27, was undrafted out of Division II Stillman College in 2010 and saw action in four games as a rookie. He signed a four-year contract extension reportedly worth up to $41.5 million in September.
He had 10 sacks as a member of the Saints during the 2014 season, leading the team, and played in every Saints game over the past two seasons.
Galette was arrested on Jan. 5 and booked on charges of misdemeanor of domestic violence and battery. Those charges were dropped in February by the prosecution, which cited a lack of evidence.