The part of the sentence "I immediately ran" is correct and usable in written English.
You can use it to describe a situation when you moved quickly out of a certain area. For example: "When I saw the snake, I immediately ran away."
"I heard shots, and I immediately ran to my artist".
"I immediately ran over to the computer and waved my hand, and it read the chip," he says.
I immediately ran out of my room, screamed for my mom and wrapped her in a hug as I told her the news.
When I tested the Amplified Hands-Free Headset from Radio Shack ($49.99), I immediately ran into one of the drawbacks of the less expensive technology: the instructions sent me in search of a screwdriver (read: some assembly required) to open the battery cover (read: batteries not included).
Viljoen followed Pistorius upstairs inside his home when he went to get identity documents for Steenkamp because she thought he might kill himself: "I thought he was possibly going to shoot himself so I immediately ran up but I was scared to go any further".
I immediately ran from the other room to catch the rest of the news report.
I immediately run down to the Marcadet métro station, for the Boulevard Barbès is already being pelted with bombs.
I immediately run into Oli, Siman Mobile Disco's manager, who upgrades my wristband, and we walk on to the side of the Big Wheel stage, accidentally catching the end of Scuba's set. .
For instance, every time I've gotten a perm, I've immediately run home and massaged half a bottle of conditioner into my hair in an effort to relax the curls.
When the shrieking started during coverage of the Australian Open, I would immediately run to the piano, singing the pitch repeatedly until I found the exact piano key that matched.
I jumped up and immediately ran to my boss to inform him.
