Medvedev next faces Andreas Seppi, the 34-year-old Italian, who eased past qualifier Taro Daniel 6-0, 6-4. Now I'm in the final, it's an unreal achievement for me.
The 28-year-old Romanian turned in a gritty performance against world number five Zverev, serving and volleying and mixing up his shots from behind the baseline to prevent the German from finding any sort of rhythm. "I'm happy to win in front of my home crowd".
Wimbledon runner-up and world No 8 Anderson is having a career-best season and won his fourth career title.
Anderson was runner-up to Djokovic at Wimbledon this year but the win in Vienna represented the biggest title of his career.
His qualification means there are two places still up for grabs ahead of the Paris Masters, with Croatian Marin Cilic, Austrian Dominic Thiem, Nishikori and American John Isner still in the race.
The top-seeded Swiss rallied from trailing by a service break in each set against the 93rd-ranked Romanian, whose serve was measured at 243 kph (151 mph) in his opening service game. He kept his foot on the pedal in the second, racing to a comfortable 4-0 lead but had to fight to emerge the victor.
Merkel to step down as party leader, ends era of German politics
Nahles' comments show the SPD will put more pressure on the conservatives to deliver policy results for the center-left party. Merkel has been in a hard position since September 2017, when a national election left her party without an overall majority.
The early stages did not go to plan for Federer, who saw Copil break serve in only the third game.
"It will be a challenge but I'm excited to see how I feel tomorrow, playing a young guy", said Federer.
"But winning is fun, winning gives you confidence and that's what I'll need if I want to do well in London and beat the best over there, so I hope that this confidence I gained from here is going to help me there".
But a run of five consecutive games for Federer maintained the world number three's spectacular run in this competition.
"I think I had very good tactics against him - but I still can't believe this".
Their first meeting came after Federer amassed 20 Grand Slam singles titles, while Copil has just one career match win at a Grand Slam - in the 2015 Australian Open first round.