Sebastian Saavedra hit a tire barrier on lap 33 after Andretti ran him into a wall.
Rookie Carlos Munoz of Colombia finished second, Hunter-Reay finished third and Marco Andretti placed fourth.
Carroll hadn't raced in 14 months but his A1 performances impressed team owner Michael Andretti.
"She's got a fast car and she's obviously with a good team, " said Andretti.
Andretti Autosport will have a four-car lineup this season with EJ Viso joining the IndyCar team.
Viso joins a lineup that includes defending IndyCar champion Ryan Hunter-Reay, and James Hinchcliffe and Mario Andretti.
Andretti escaped penalty after IndyCar reviewed contact between him and Simon Pagenaud that caused Pagenaud's tire to go flat.
Andretti Autosport is the only team that fields cars at each level of the Mazda Road to Indy ladder.
Viso's addition, announced Thursday, is a joint effort between Andretti and HVM Racing.
Former Indy 500 winner Mario Andretti and Colts players Robert Mathis, Cory Redding and Samson Satele all attended the game.
"It's good to get back up there in the points and we'll keep marching forward at Texas next weekend, " Andretti said.
She has a lucrative deal with her team, Andretti Autosport, that allows her to share team revenues, a rarity in racing.
Kanaan's victory ended the domination of Team Penske and Ganassi Racing and gave Andretti Green their first win of the season.
The IMS rookie program has three confirmed drivers: AJ Allmendinger (Team Penske), Tristan Vautier (Schmidt Peterson Motorsports) and Carlos Munoz (Andretti Autosport).
Scott Dixon was fourth, followed by Dario Franchitti and Marco Andretti, who pulled into a tie with Helio Castroneves for the IndyCar points lead.
Carroll, who won the A1 Championship for last year, is driving for the Andretti Autosport team in the second half of the 2010 season.
Andretti Autosport went from four cars to three following the 2011 season, and the addition of Viso makes it the largest organization in IndyCar.
After signing on with Andretti Green Racing, Patrick has secured Motorola as her chief car sponsor, backed up by XM Satellite Radio and Go Daddy.
On Oct. 21, the promoters organized a christening ceremony complete with rides around the circuit courtesy of Mario Andretti, the only living American F1 champion.
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His father Mario Andretti, the former Formula One and Cart champion, has also suffered heartache at the Indy 500, managing just one win in 29 visits.
The quartet is completed by the Lee Freedman-trained Miss Andretti and Magnus, who comes from the stable of Peter Moody, who is making his first trip to Britain.
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That pushed Marco Andretti down a spot to sixth, but the highest finish for an Andretti organization that was looking to open the season with three consecutive wins.
"This season has been the best in my memory in terms of being unpredictable and different teams that were not expected to be great coming alive, " said Andretti.
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In 2001, Andretti was third, in 1991 he finished second and in 1992 led 160 laps only for fuel pressure problems to put him out 11 laps from the end.
Andretti plans to field five cars in the Indianapolis 500, two full-time Firestone Indy Lights entries, two full-time Pro Mazda Championship entries and entries in the USF2000 Championship powered by Mazda.
Marco Andretti, who put his famous family atop the standings for the first time in more than a decade earlier in the week, finished 20th and made at least one other driver very angry.
" On the victory podium standing with Mario Andretti, the only living American F1 world champion, Hamilton called the event "probably one of the best, if not the best Grand Prix we've had all year.
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Way to be discreet, Mario Andretti.
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After signing on with Andretti Green Racing, Patrick has secured Motorola (nyse: MOT - news - people ) as her chief car sponsor, backed up by XM Satellite Radio (nasdaq: XMSR - news - people ) and Go Daddy.
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