The doubles ace put up a brave face despite India being underdogs in the Davis Cup match against the Netherlands.
Chairman of selectors Shyam Minotra said Amritraj, the highest ranked Indian on the ATP at 317, deserved to be in the team.
The Indian tennis ace hoped to come back on court within two to three weeks.
The country's former Davis Cup stars moan the exit from the elite World Group for the first time in 20 years.
Belarus will figure in the Davis Cup World Group for the first time while Germany are relegated for the first time in 20 years.
Rohan Bopanna lost in five sets to Martin Verkerk while Prakash Amritraj was beaten by Sjeng Schalken in straight sets in the Davis Cup play-off match.
They were beaten by Thailand 1-2 in the Asia-Oceania junior girls' Fed Cup qualifier.
Sanaa Bhambri and Tara Iyer gave India a 2-1 victory over Korea in the Asia-Oceania tournament.
The April 4-6 match will be held at the lush green grass courts of the Calcutta South Club.
In winning the Davis Cup Andy Murry has fulfilled the hopes Britain had in him. Now, says Bikash Mohapatra/Rediff.com, he needs to live up to his initial promise and consistently deliver results a player of his potential deserves.
Saketh Myneni and Yuki Bhambri registered dominating straight-set victories as India completed a 5-0 rout of Chinese Taipei in the first round Asia/Oceania Group I Davis Cup tie in Indore on Sunday.
Swiss qualifier Timea Bacsinszky continued to swipe past the seeds at the Wuhan Open on Wednesday by dumping World No 4 Maria Sharapova from the hard court tournament with a 7-6(3), 7-5 victory.
An Olympic campaign saved by the fortitude of three women, a cricket team that rediscovered itself under a bold and zealous Virat Kohli -- Indian sports in 2016 was a dramatic mix of highs and lows wherein athletes mostly raised the bar but administrators found new ways to embarrass the country.
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