And Sinclair also praised both Celtic and Cole's ex-club West Ham. The 32-year-old responded and vowed to make the most of his opportunity at Parkhead.
Cole was recently confirmed as a Ronny Deila signing after training with the Scottish champions for a number of weeks. He was a free agent but will now try his hand at Scottish football for the first time.
Thank you Trev. Going to make the most of the opportunity https://t.co/AlacnxRGSf— Carlton Cole (@CarltonCole1) October 29, 2015
Once Cole is fully fit, he will no doubt prove a useful addition to the Celtic side.
And how different West Ham's situation is to the last time Cole was signing a new contract - having returned to Upton Park following his release by the Hammers.
For now, Leigh Griffiths is obviously the main man at Parkhead. He'll continue to be, although Cole can certainly help lift the burden off of Celtic's leading striker.
The Bhoys host Aberdeen during Saturday's early kick-off this weekend, while Cole's old club West Ham travel to Watford in the Premier League at 3pm on the same day.