Most Revd Philip Tartaglia was taken to hospital whilst on a trip to Spain suffering from chest pains.
The clergyman has been recovering at home in Glasgow since being flown back to Scotland soon after taking ill.
He's now returning to his duties but will have twice-weekly cardiac rehabilitation class for the next six weeks.
"As my medical care continues, I want to thank God for the skills and professionalism and human support of medical staff both in Salamanca (Spain), where I had the heart attack, and here at home," the archbishop said.
He added: "I am very grateful for all the letters, messages, cards and expressions of good wishes and prayers - to say nothing of baskets of fresh fruit - that I have received over these weeks.
"It will be impossible for me to answer them all. But I am very grateful for every prayer and every good wish and every apple, orange or pear.
"I want everyone to know that I was very touched and encouraged by all these kind and generous sentiments. I am grateful too for the prayers which were offered across the Archdiocese and beyond, in parishes and schools and convents and monasteries.
"My recovery suggests that the prayers were heard and I am grateful to God for his gracious Providence."
Catholic schools across Glasgow sent cards and messages to the Archbishop as news of his illness spread.
One pupil said: "God our Father please help Archbishop Tartaglia have a speedy recovery and rest in peace so that he can get back on his feet and keep Glasgow happy."
Archbishop Philip has been in the post since 8 September 2012.
He will say his first mass since taking ill at St Andrew's Cathedral on Sunday.