Cardiff entered the contest in confident mood after four points from festive fixtures at Crystal Palace and Leicester had moved them three clear of the relegation zone.
Cardiff manager Neil Warnock said that early goal was a heavy blow: "When we start off like that we shoot ourselves in the foot".
"He will go with his national team but we have players and football is about the squad and surely we will find the solution".
Pochettino added that he wouldn't let nervousness over the table prevent him from watching Thursday's clash between City and Liverpool, the league's highest-scoring sides.
"From the beginning today we showed massive energy and I think that is the team we want, and expect, to see to get a good performance on the pitch".
"We've been there in the title race before and in the past we've done well at this stage and won a lot of games", Kane said.
"They deserve full credit".
Harry Kane opens the scoring
"I think it was so important to start the new year with a victory, away from home in a very hard place, against a team like Cardiff who came from beating Leicester".
"The Wolves game was a kick up the bum for us".
The Premier League match between Cardiff and Tottenham will be broadcast on NBCSN.
Kane had previously scored at least once against 27 of the 28 Premier League opponents he had faced, with Cardiff the solitary team he had failed to net against in three previous encounters.
"They have some quality players and I think it will be a massive test for us, after the Wolves defeat, to go there and again to create and be positive". However, Cardiff have shocked many.
"I'm able to pass out wide and it's always been a part of my game".
"I think one of his strengths is his physical condition", Pochettino said.
"I base my game around creating chances and people who have watched me in the last few years know I don't just score goals".