Spurs then took full advantage just after the interval, Kane confidently dispatching a one-on-one to become the club's all-time leading scorer in European competition with 24 goals.
The Tottenham manager and his assistant Jesus Perez were walking away from the man in the middle, when the Spurs boss turned and could be seen appearing to say "what did you say?" to the experienced referee.
"I was talking yesterday with Daniel [Levy, the Spurs chairman] and he was very positive", Pochettino said.
"Before the game, we were sitting listening to the song of the Champions League and we were thinking it would be incredible to be standing in the new stadium, listening to the song".
The South Korean's strike, followed by goals from Jan Vertonghen and Fernando Llorente, maintained his impressive goalscoring return against BVB and ensures that Tottenham are on the brink of a place in the quarter-finals.
Stunned holders Real Madrid were sent packing from the Champions League on Tuesday, a 4-1 home hammering by Ajax seeing them lose their last-16 tie 5-3 on aggregate.
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The Argentine's ability to manage his small squad to fight on two fronts has been aided by a change in the player's mentality, with the squad now believing - and playing like - they belong in Europe and dominating many top six sides in the league. "We are in the quarter-finals and it's a massive achievement for the team".
However, Kane's class can not be questioned and his third goal in four games since returning made him the club's top all-time scorer in European competitions with 14 of his 24 European goals coming in just 17 Champions League games.
They dominated in the first half and despite a valiant effort, they were simply unable to score with Spurs keeper Hugo Lloris in stellar form.
"I want to congratulate Kane and Lloris, too, because that was his 100th clean sheet for Tottenham, which is fantastic for him too", added Pochettino. "We want to keep on going, we don't want this to end".
'Of course you need some luck and a good 'keeper but we dug in and we knew if we did that we wouldn't concede which was so important'.
"At half-time we said to pick up the energy a bit more and if we get a chance to take it and thankfully we did that", Kane told the club's official website.