Queta will start Wednesday's game against the Nets.
Queta totaled 10 points (4-7 FG, 2-2 FT), seven rebounds, one block and one steal over 23 minutes during Monday's 123-93 win over the Hawks.
Queta will move to the second unit for Tuesday's preseason game against the Raptors, Blake Murphy of Sportsnet.ca reports.
Queta posted 12 points (3-8 FG, 0-1 3Pt, 6-6 FT), 15 rebounds, five assists and a block across 21 minutes in Sunday's 115-111 preseason win over the Raptors.
Queta will start Sunday's preseason game against the Raptors, Blake Murphy of Sportsnet.ca reports.
Queta has agreed to a multi-year deal with the Celtics, Shams Charania of The Athletic reports.
The Celtics extended a qualifying offer to Queta on Saturday, making him a restricted free agent, Keith Smith of Spotrac.com reports.
Queta tallied 19 points (8-11 FG, 3-4 FT), nine rebounds, six blocks and one assist in 20 minutes off the bench in Sunday's 132-122 win over the Wizards.
Queta amassed 16 points (8-10 FG), six rebounds, five assists and two steals over 18 minutes during Friday's 131-98 win over Charlotte.
Boston recalled Queta from the G League's Maine Celtics on Friday, Justin Turpin of WEEI.com reports.