On Saturday, India's doubles team of Yuki Bhambri and Saketh Myneni will team up for the doubles.
Zverev has not played since hurting his ankle at the French Open in early June and after surgery remains a doubt for the US Open, which takes place directly before the Davis Cup.
World number 170 Ramkumar Ramanathan gave the hosts the first point of the tie as he outplayed 824 ranked Sigsgaard 6-3, 6-2 in a totally lopsided contest.
In the second singles, 590th ranked Yuki Bhambri will meet Mikael Torpegaard who is currently 210th in the world rankings.
Speaking with the media on the occasion of Pre draw ceremony, Rohit said," We are happy that we got here early. We wanted at least 10 days before the tie. Boys went to the TATA Open and then Dubai Open. They were hard surfaces and that’s why I thought we should be here early so that we can get used to the surface and bounce.
Gunneswaran struggled with his first serve, managing to land only 58 percent as compared to 73 by his opponent