Celtic officially unveiled new manager Brendan Rodgers at Parkhead on Monday afternoon.
The former Swansea and Liverpool boss was named as Ronny Deila's successor on Friday and his first game in charge will be a Champions League qualifier in mid-July.
Rodgers said: “Celtic is one of the biggest clubs in the world and for me to come out of the Premier League to here is certainly not a step down.
"For me, the objective is pretty clear – to continue the domination of Scottish football and also to make an impact in European football.
“I understand the values of this club and the expectations and the pressures, because here it’s not just about winning. Celtic is brought up to win in a way of football – a style and an identity.”