Hamilton and Bottas made a clean start, with Vettel passing his teammate Kimi Raikkonen for third place around the outside at Turn 2.
Bottas was far from happy with comments from his Mercedes boss.
"For instance, if I block him or corner him in, it gives the opportunity to the guys behind to pass him, so I tried not to make it too hard for him in that respect".
"I'm looking forward to the next weeks", Bottas said about the summer break. "The second half usually gets a bit better on our side so we will go and prepare and make sure we come back even stronger".
In lap number 10, the advantage of Hamilton grew to 4.4 seconds, while in lap 14, Raikonnen stopped to change tyres.
Speaking to reporters separately, Wolff said he had meant to be positive.
"You see the teamwork me and Valtteri had, it worked pretty well", he said, pointing to the start and opening lap when they fended off a concerted Ferrari attack.
Hamilton's win here followed his victory at last weekend's rain-soaked German Grand Prix, where he was handed victory after Vettel crashed late while leading.
Renault's Nico Hulkenberg stopped on track with an engine problem and missed the last half hour of that early session.
But with his negotiations with Red Bull continuing to drag on, Ferarri's interest could be reignited.
Bottas added that he wanted to discuss his perceived role as a "wingman" in the team, or as a driver to be used tactically to help Hamilton's bid for a fifth world title.
"I got hit from behind [by Bottas], I was not sure what had happened and I was lucky the auto was not broken and we could carry on".
"This year we all know that Ferrari really do have the upper hand pace-wise", said the Briton after his fifth win of the campaign.
"So you sort of know but you don't know because, Lewis" information, they don't call us and say: "Our tyres still look good, you can come in earlier.' That's not how it works". But Stoffel Vandoorne had a power failure with about 20 laps to go leaving Birthday boy Alonso out on his own. Fair enough, I think a racing incident.
"I really could only have dreamed that we would be in the position that we are in right now", he admitted. Ferrari had opted to split strategies between its two drivers, with Vettel starting the race on soft tyres while Raikkonen, like the rest of the front runners, started on a pair of ultrasofts.
He said: 'Valtteri's race was the flawless wingman's race, and I don't mean in championship terms.