The Nigerian international was played in the Hoops' 4-1 win over Raith Rovers in the League Cup, and is happy with his new surroundings after just a week.
Ambrose said: "It has not been easy because I had a short time to adapt to being in the team. There has been no time to train with the team properly.
"But the feeling I have with them is amazing because they helped me to settle down very fast and so there was no problem.
"It is like a home for me. We are like family here. It is a good place to play football and make myself a better player."
The 23-year-old joined the Scottish champions on a three-year deal from Israeli team FC Ashdod during the summer.