The 61-year-old former England batsman is still in a coma in Durham City's Dryburn Hospital, but former captain Dale Benkenstein reported that there had been some positive news on Saturday.
"His family are at his bedside and his daughter, Anna, tells me they have reduced his sedation without him suffering any more seizures," Benkenstein said.
Messages of support for Cook were rife on Twitter when news broke of his heart attack on Thursday, with Durham skipper Paul Collingwood and former England captain Michael Vaughan among those offering support.
Collingwood posted: "All our thoughts with Geoff Cook and his family. Sad sad day."
Vaughan added: "Thoughts and prayers are with Geoff Cook and his family...A great man.. Get well soon Geoff..."
Cook played in seven Tests and six one-day internationals for England in 1982 and 1983 and became director of cricket at Durham when they became a first-class county in 1991.
He was named as head coach in 2007, immediately winning the Friends Provident Trophy, and brought the club back-to-back county championship titles in 2007 and 2008. They had never won the championship before.
- Sports & Recreation
- Geoff Cook
- Dale Benkenstein
- Paul Collingwood