Germany coach Julian Nagelsmann said on Monday that the Barcelona captain would be his regular keeper following Manuel Neuer's retirement from internationals.
Ter Stegen had spent over a decade as Neuer's understudy since his international debut in 2012.
"It is a different feeling altogether," Ter Stegen told reporters on Thursday. "My aim has always been to be No. 1.
"I am happy that the spell of waiting is now over. I am happy about the new task, about what is to come."
Ter Stegen, who has won 40 caps for his country, said he had often felt disheartened waiting for his turn.
"To be honest there were always these moments when you say: 'Wow, that was another blow.' The decision mostly went in Manu's (Neuer's) favour," he added.
"It was disappointing, of course, but you have to live with it. You should have this experience and accept it. In the end, it was worth it."
Asked if he could see himself taking Neuer's place at Bayern Munich or moving to another German club, Ter Stegen said: "I still have a long contract with my club and am very happy with my family in Catalonia."
Germany play the Netherlands in Amsterdam on September 10th.
