Barcelona, Bayern Munich, Real Madrid and Juventus are among the teams they could play for a place in the last four.
Juventus goalkeeper Gianluigi Buffon said after his side sealed their place in the last eight by beating Porto on Tuesday that Leicester are the team to avoid in the next round.
"We will take whoever comes," added Morgan.
"It is a fantastic night for Leicester. We still need to concentrate on the league but we will enjoy this moment."
'We could be the surprise team'
Victory continued Leicester's impressive resurgence under Shakespeare.