Ryan Mallett, meanwhile, looked determined not to let his disappointment linger over his relegation to a backup role.
"It's good to come out and start the game and move the ball like we did," Hoyer said. "That means what we are doing is moving the team in the right direction."
All three Houston quarterbacks led scoring drives. Mallett threw a 6-yard touchdown pass to Jaelen Strong, and afterward downplayed the anger he'd expressed at the initial news that Hoyer was named the starter over him.
"There was nothing to put behind me," Mallett said. "I felt like we went out there and executed our game plan and we moved the football and scored some points on them."
Hoyer finished 7 of 11 for 82 yards. Mallett was 9 of 17 for 77 yards, and Savage finished 5 of 7 for 58 yards.
Houston took the lead for good on its first offensive series, capped by former LSU running back Alfred Blue's 1-yard run. The score was set up by a pass-interference call on cornerback Keenan Lewis, who was trying to prevent DeAndre Hopkins from hauling in Hoyer's pass in the end zone. Hopkins had already beaten Lewis for a 29-yard catch on the drive.
But New Orleans' first two trips inside Houston's 20 produced only 3 points. The Saints also committed 11 penalties for 148 yards.
Saints coach Sean Payton didn't hide his annoyance at the penalties and cracked sarcastically that his defensive lineman should put on a New Orleans-style second-line parade to celebrate their first sack of the preseason, which came in the second half when rookies Tavaris Barnes and Tyeler Davison brought down Savage.
"Penalties, obviously, jump out, right? The pass rush. Those are things that stand out," Payton said while discussing areas of concern.
Copyright 2015 by The Associated Press