"I made a mistake, and then just working my way up from there was tricky," said Hamilton, who continued his written media blackout afterwards but spoke - albeit briefly - in the official press conference for the top three drivers, an obligation which is mandatory for drivers under the sport's regulations.
Later, Mercedes lodged a protest against Verstappen after the Dutch driver blocked a move by Hamilton on the penultimate lap.
Rosberg will be crowned world champion if he secures a top-three finish even if Hamilton claims a fourth consecutive win.
Rosberg was staring at finishing only third here - meaning he would have to finish second in Abu Dhabi to win the title - but Red Bull pulled Verstappen in to change to the intermediate tyres and alter the fate of this year's championship battle.
"We gave him a huge amount to do and the way he drove those last 15 laps was unbelievable.
"Max was in a league of his own today, and what we witnessed was something very, very special." Meanwhile Rosberg, the championship leader, now has one hand on the title.
World champion Hamilton walked out of his press conference with the written media on Saturday evening in response to what he deemed to be disrespectful coverage of his antics on Snapchat earlier in the week.
He then botched his start on Sunday - falling six places to eighth - before ending a bizarre weekend by calling on Mercedes to withdraw their post-race protest against Max Verstappen which could have promoted Hamilton to second.
The former Pussycat Dolls star appeared on the daytime talk show on 30 September when Williams, 51, confessed that she had often discussed the break-up on her Hot Topics segment.
Williams said: "I was saying, because you're 37, this is a woman who spent seven years of her life breaking up and getting back together.
But he overtook 13 cars - including that of his team-mate Daniel Ricciardo and Sebastian Vettel, the four-time world champion whom he left trailing on the grass - to claw his way on to the podium in one of the most outstanding displays in recent grand prix memory.