Borna Coric upset defending champion Roger Federer to face Novak Djokovic in Sunday night's (NZ time) Shanghai Masters final.
Anderson had a chance to take an early lead against Djokovic, but he overhit a forehand on set point in the 12th game of the match.
'I did everything I meant to do on my end, ' Djokovic said.
Federer takes to the court second on Saturday's schedule, which has a more pleasant feel to it from a start time perspective, with this starting at 1pm United Kingdom time, after Alexander Zverev versus Novak Djokovic, which begins at 930am. "He is a quick leaner and an intelligent human being and I think the composure he is now showing [is proof] that he is ready to take his tennis to another level".
Earlier, fourth-seeded Alexander Zverev secured a spot in next month's ATP Finals with a 6-4, 6-4 quarterfinal win over Kyle Edmund.
I'm ready for whatever challenge is across the net.' Federer will now play the Swiss Indoors in Basel and then ATP Finals in London.
The victor of the last two grand slams, Djokovic has been unstoppable in recent months and crushed Zverev 6-2 6-1 to set up a final meeting with either Roger Federer or Borna Coric.
"It was the same length, actually, as all three of my matches went the same length basically, an hour and 52 (minutes)", Federer said.
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"Serving, I think, it's okay, could be even a little bit better".
"I wasn't - I feel like - playing as well as I'm playing today", he warned.
The 37-year-old Federer was forced to battle through the first two matches of his title defence, first to Daniil Medvedev and then Roberto Bautista Agut.
The top seed said he lacked "punch on the ball" but felt "explosive" on court, though he said he could have improved his serves.
Regardless of what happens over the coming weeks, former British No.1 Greg Rusedski feels Djokovic is comfortably the best player in the world at present.
"I felt like I got some great rhythm, whereas in Cincinnati I came out of the tournament, I was, like, "I don't know where my game is".
"It's close to, or it's maybe equal to winning a Grand Slam, and I think other players will tell you the same thing, because just to be there, you obviously play well throughout the whole year". I love the way I have played so far this week. You need to direct the focus where it matters.
'You are always trying to stay centered and balanced.