There are 4 Indians on the International Panel, Shamshuddin, Anil Chaudhary, Virender Sharma and KN Ananthapadmanabhan. The latter 2 having been promoted last year and have little or no international experience.
As mentioned, India are represented by Nitin Menon on the Elite Panel. I’d imagine the test matches would be umpired mostly by Menon and Shamshuddin, with maybe Chaudhary getting a test match as he’s umpired a number of limited overs games in India.