Broagan McCuaig was playing with friends in Gartloch Road, Garthamlock, at about 5.10pm on Friday when she was attacked by two American bulldogs.
She suffered serious facial wounds and has had surgery on her face and leg.
Her parents Tracy Cox and Neil McCuaig said she was terrified and kept asking if "the dogs are away".
The dogs have been seized by police.
A man, aged 34, and a 33 year-old woman have been charged with offences under the Dangerous Dogs Act.
Mum Tracy said: "She was playing with her friends when the next minute she was screaming and banging at the door.
"I could see at the back window these two big animals were pulling her from one to the other."
She said she saw some men trying to get the dogs off her daughter, then "blacked out".
She added: "I just froze. It was the worst day of my life.
"It's horrible to think one minute she's shouting and the next she's screaming 'help me'. That's all I can remember."
"I thought it was going to be bad but she's pulling through.
"She's just wanting to get home. She's getting flashbacks. It's all coming back to her so she's getting frightened now."
The couple only moved to the flat four to five weeks ago.
Ms Cox said: "She doesn't want to go back to that house. There are too many bad memories. She'll never be able to go out the back again because that's where it happened."