Gallacher, who captained Europe on three occasions, was admitted to Aberdeen Royal Infirmary on Thursday evening, and Laidlaw revealed that the 64-year-old is still under sedation.
"I was up at Aberdeen on Saturday. He is obviously in a critical condition and he is sedated but he has had a quiet night," Laidlaw told BBC Radio Scotland.
"I think he is a fit person, he doesn't drink, he keeps himself fit, he doesn't smoke and hopefully he will make a good recovery.
"We don't know just what brain damage there might be but we are keeping our fingers crossed that it's not too bad."
An update on Galacher's condition is expected to come on Sunday evening.