Kane, who missed seven weeks with damaged ankle ligaments, scored from the penalty spot to give Spurs a point in the North London derby.
The England global missed 10 games for Tottenham, the last six of which the club failed to win or find the back of the net from open play, but as his side remain unbeaten in the league, Kane denies claims the form is a "crisis".
"It's hard to say one team deserved it more than the other", said Pochettino, whose side remain three points below Arsenal in fifth place with the last unbeaten record in the division.
"I never want to be injured or missing games but, when you get injured, you have to look at the positives to help you", said the forward, who missed 10 club games as well as England's World Cup qualifiers against Malta and Slovenia.
Pochettino told BT Sport: "I'm happy with Harry Kane".
Kane added: "It has been a hard spell for us but we came out against Arsenal and played very well, we could have even nicked it".
On the second-half performance, the Gunners' boss felt that the team "dropped a little bit physically, " although he felt they gave all the could but "didn't find the resources to score".
Spurs went into the North London derby without a win in six matches and off the back of Wednesday's disappointing 1-0 defeat to Bayer Leverkusen in the Champions League.
It's a bit easier to prepare for the games because you do not have the intensity of a Champions League game, but if you ask them, both would like to play in there so you can not complain about that. But the referee makes the decisions and we have to cope with that. "It was great to be back in those situations and to be back among the goals".
After lasting 75 minutes before making way for Vincent Janssen, he admitted: "It's been a tough spell sitting it out and watching the team so I was delighted to get back out there and get some minutes under my belt".
Prior to the match pundits and fans both saw the lopsided form of both teams and predicted an easy Arsenal win. "Nobody stopped us scoring a second goal [but ourselves]", he was quoted as saying by theguardian.