Police said the shooter was offered the equivalent of about $8,000 to carry out the hit on Ortiz, but the identity and the motive of the person who may have ordered it remain a mystery. He said the alleged coordinator was also among those in custody.
Witnesses rushed Garcia on Sunday night and handed him over to police.
They promised, however, all those who targeted a man nearly universally beloved in the baseball-crazy Dominican Republic would be brought to justice.
Afterward, police conducted "an exhaustive investigation" and examined video surveillance that showed the shooter running toward the Hyundai and reuniting with the people inside the vehicle.
Ortiz was moved to the Boston hospital on Monday, and shortly after underwent a second surgery.
Known affectionately as "Big Papi", he played 14 seasons for the Red Sox and made 10 All-Star appearances in his 20-year career.
Ortiz galvanized the city in the aftermath of the 2013 Boston Marathon bombing that left three people dead, bellowing through a megaphone at Fenway Park: "This is our (expletive) city!"
Rolfi Ferreira-Cruz, 25, was one of six people arrested and charged in the shooting of Ortiz, according to a release from the National Police of the Dominican Republic.
Nunez said he was happy to have had the opportunity to speak with Ortiz.
Security footage captured video of two men on a motorcycle talking with some other suspects in a gray Hyundai Accent, and again to another Hyundai on a nearby street moments before the shooting occurred.
Five other suspects are being sought, Bautista said.
Both men have been arrested and the gun has been recovered.
Four other men, including Joel Rodriguez Cruz, Oliver Moises Mirabal Acosta, Reynaldo Rodriguez Valenzuela and Polfirio Allende Deschamps Vazquez, were also arrested.
The alleged gunman is seen on surveillance video exiting the vehicle before mounting the motorcycle.
Boston Red Sox Legend David Ortiz is now able to sit up and has taken some steps as he continues to recover from surgery to treat a gunshot wound at Massachusett General Hospital in Boston, his wife, Tiffany, announced in a statement issued on her behalf by the Boston Red Sox. Enraged onlookers captured Feliz Garcia and beat him bloody before handing him over to police.
The Dominican newspaper Diario Libre reported on Wednesday that Mirabal Acosta has been connected with a gang of drug dealers and assassins in Santo Domingo Este.
Feliz Garcia faces charges of being an accomplice to attempted murder for allegedly driving the shooter to the nightclub where Ortiz was shot.
Though Nunez was never Ortiz's teammate in Boston, as Santo Domingo natives they share a bond that while centered around baseball also goes well beyond the sport. Garcia confessed to having a role in the shooting, though his attorneys and his mother say he was an unwitting participant, according to ABC News.
Ortiz's father and a sister live in Santo Domingo and the 43-year-old former Red Sox great was active on the social scene here, hitting nightspots with friends who included TV personalities and Dominican reggaeton musicians.