World number four Kohlschreiber needed less than an hour to break serve six times against the Russian, only dropping eight points on serve.
"Today the match was like a treat; it was a top performance throughout the entire match," said Kohlschreiber. "I think it is always very special for the German team.
"We are at home. I think that we always feel a certain pressure compared to other teams. For sure this year’s competition is very strong, but we want to defend our title."
"I didn’t play well. He played better than I did," conceded Roddick. "I don’t think you expect to come out after a lay-off and play great. One of the best things about this event for me is that you get matches guaranteed. So I’ll go back to practise and do it again in a couple of days."
Also in the Red Group, Tatsuma Ito gave debutants Japan a 1-0 lead over Czech Republic with a 3-6 6-4 6-4 win over Radek Stepanek.