Liverpool are now experiencing some of that impatience as they look to bring Naby Keita to Anfield in the January transfer window.
City hasn't triumphed at Anfield since Nicolas Anelka grabbed an injury-time victor against his former club in 2003, making Liverpool its hardest away trip in the Premier League.
However, Oxlade-Chamberlain, who experienced key personnel like Robin van Persie leave when he was at Arsenal, believes he and the likes of Mohamed Salah, Sadio Mane and Roberto Firmino can help fill the void without too much disruption.
However, Klopp now has great problems after the departure of Philippe Coutinho, as Liverpool are struggling to find a suitable replacement.
Alex Oxlade-Chamberlain is another, albeit very different, option in midfield and is getting to grips with Liverpool's style of play following his summer move from Arsenal.
GETTYLiverpool are hunting a replacement for Philippe Coutinho
There is no suggestion that home-grown Kane is agitating for a move, with the club on the verge of moving to a new stadium but Levy sounds confident he can keep the circling sharks at bay.
"I don't want to sound disrespectful, he was here for five years, we will miss him".
Sporting director Michael Edwards will negotiate with Ralf Ragnick about bringing forward a deal for Naby Keita this month.
In the clip, "Kevin Murphy" introduces himself to the camera, saying: "Hello YouTube, I'm Cork's biggest Liverpool fan".
Liverpool are considering their transfer options following the sale of Philippe Coutinho to Barcelona and have been linked with a string of attackers.
Lemar turned down a £90m move to Arsenal on deadline day in August, and Monaco are set to begin the bidding for the 22-year-old's services at that figure.