The 46-year-old feels his side could have been more clincal in the first-half and put the game out of sight instead of letting the Cottagers back into the match.
Richarlison continued his fine form as he guided Everton to a 2-1 win over Southampton on Saturday afternoon.
Everton beat Southampton 2-1, Leicester won 2-0 against Wolverhampton Wanderers despite having star striker Jamie Vardy sent off, and Newcastle winger Kenedy had an injury-time penalty saved in a 0-0 draw at promoted side Cardiff.
After becoming the first Premier League side since the introduction of the summer transfer window to fail to sign a player, Spurs were dealt another blow off the field in midweek with the news their new 62,000-capacity stadium won't be ready until at least October.
File image of Mauricio Pochettino.
And, within seven minutes of the restart, those fears were confirmed with Aleksandar Mitrovic, who had struck the Tottenham post moments earlier, equalising with Fulham's first goal back in the top flight.
Tottenham may still be suffering a World Cup hangover with the majority of their stars enjoying barely a week of pre-season training after their efforts in Russian Federation.
Afghan forces free 149 people taken hostage by Taliban
This comes despite President Ashraf Ghani's call for a ceasefire with the Taliban during the Muslim holiday of Eid al-Adha. The Taliban accepted that three-day ceasefire, but later rejected a call by the president to extend it.
Harry Kane's first August goal in the Premier League then made the points safe.
"I was a little bit disappointed because we conceded chances, with a different set-up and players", Pochettino said. Not wasting time. We need to be focused from day one.
The north London outfit have plenty of central midfield options, including Eric Dier, Victor Wanyama and Mousa Dembele, but majority are defensively-minded players, and with Harry Winks still out injured, a player with Marchisio's qualities would be surely welcomed with open arms at Spurs. League newcomers Cardiff City and Newcastle United ended their match goalless.
This was Manuel Pellegrini's second successive defeat since returning to the Premier League with West Ham. Everton also changed managers in the summer but Marco Silva has enjoyed a more promising beginning and secured a 2-1 win in his first home game with new signing Richarlison scoring his third goal in two games since his move from Watford.
The Saints could have been ahead in the early stages when Charlie Austin failed to hit the target with a header from 10 yards, and they were made to pay when Morgan Schneiderlin set up Theo Walcott for the opening goal after 15 minutes.
A spectacular own goal from Matt Doherty and a deflected James Maddison strike put the Foxes in command.
"But the most important thing is for him to keep humble, keep working and, in the end, England didn't win!"