Branthwaite capped an exemplary individual display with his maiden Everton strike to earn the Toffees a point after Mason Mount had put the home side ahead.
“I'm buzzing," the 19-year-old said. “Playing for this club – like I said when I signed my contract recently – means the world to me.
“And for those fans, who travelled that far on a Thursday night to watch us, we put on a performance for them so I'm buzzing.
“I can't put it into words, really. It was my first Premier League start for a while and I just wanted to enjoy it.
“Getting the result we did, coming away to a top team like Chelsea, I'm over the moon and happy for the fans as well.
“You can see what it means to our fans, and what it means to us, too, to get that result. It's superb.
“It's massive as we showed grit and strong mentality. Every player on the pitch gave 110 per cent and that's what we need every game to get us to where we want to be."
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