Brendan Rodgers has claimed that Celtic showed a different side to their game in grinding out a goalless draw against Rosenborg in the second leg of their Champions League second qualifying round tie.
The 19-year-old Arzani - who made three substitute appearances for Australia at the World Cup in Russian Federation - is expected to complete his transfer from A-League side Melbourne City to Manchester City before being farmed out to the Parkhead club for an extended loan period.
The deal comes as Tom Rogic opened his account for Celtic after just eight minutes of the new Scottish Premiership season, scoring the first of Celtic's goals in their comprehensive 3-1 victory over newly-promoted Livingston.
"He is, I believe, finalising his deal with Manchester City and in talks with ourselves to come in, as a possibility", he said when asked about Arzani. It is not going to be (before) midweek.
"He has obviously been at the World Cup so he will need to be in for a couple of weeks before he gets up to speed".
He also played a key role in the second before making way after 77 minutes.
Celtic will next host AEK Athens at Paradise next Wednesday night in the first leg of their third Champions League qualifying round tie.
Livingston's problems increased when Declan Gallagher was adjudged to have fouled Callum McGregor inside the box and Ntcham slotted the ball home.
"It was a great demonstration that you can't always play flawless football, especially away in Europe, when you are under pressure and there are questions asked about your resilience and I thought we stood up to that very well", Rodgers told reporters.