Defender Mohammad Reza Khanzadeh, midfielders Ashkan Dejagah and Akbar Imani scored for Tractor in the first half.
With the win, Suning leapfrogged Luneng into second place on the table with 17 points from nine games, two points adrift of Fabio Cannavaro's Guangzhou Evergrande who have played one match less.
The academy, named after one of the country's most famous coaches, is solely responsible for the highest available coaching license.
Before the game, Dalian ranked seventh with six points in the eight-team division in northeastern China's Dalian city, while Henan, also on six points, sat at the bottom by virtue of their inferior goal difference.
Bale added that despite apparently not being in Zidane's plans, Madrid had stopped him moving last season.
"This victory is very important to me - I've worked so hard to get this win," said the 27-year-old Kazakh.
Arrascaeta restored his team's two-goal advantage with a diving header in heavy rain but Jose Pimentel responded with his side's second goal just before halftime.
A lonely Lutsenko sprinted to the finish and had to wait 55 seconds before the second rider Herrada appeared.
Lurie took charge of the Eagles in 1994, and led the team to its first Super Bowl title in 2017.
With this result, Dalian are sixth in Group A with nine points, while Henan with six points remained in last place.
As the match progressed, Joachim Low's men retreated with their narrow lead and kept all their men behind the ball.