A Belknap County grand jury indicted Chung, 32, on Aug. 8. Chung knowingly possessed cocaine on June 25 while in Meredith, authorities said.
Chung's arraignment is scheduled for Wednesday.
Town records show that Chung owns a lakeside home in Meredith, the Laconia Sun reported.
It is not clear whether Chung has an attorney who can speak for him. The court file doesn't list one.
"We are aware of the reports regarding Patrick Chung," the Patriots said in a statement. "We will not be commenting while his judicial proceedings take place."
The team also didn't say whether Chung would play Thursday night at a preseason home game against the Carolina Panthers.
Chung has been an integral part of the Patriots defense during his two stints with the team. New England drafted him in the second round in 2009. He left in free agency in 2012 and signed with the Eagles.
He spent one year in Philadelphia and returned to New England in 2014. He won Super Bowl rings with the Patriots to conclude the 2014, 2016 and 2018 seasons.