Prashant what you describe is called blindfold chess and I've edited your question accordingly.
Humans have been playing blindfold chess for more than a thousand years and there are even blindfold tournaments. From Wikipedia:
Today there are Blindfold Chess Tournaments held throughout the year,
with the highest profile event previously being the Melody Amber
Tournament, held in Monte Carlo until 2011. Of the modern day players,
Vladimir Kramnik, Viswanathan Anand, Alexei Shirov and Alexander
Morozevich have proven themselves to be particularly strong at
blindfold chess, being alternating winners of the Amber Tournaments
between 1996 and 2007. Levon Aronian won Amber 3 times since then and
won the blindfold event at the 2012 SportAccord World Mind Games.
Not only are blindfold games and tournaments commonplace but there is competition to see who can play the most blindfold games at the same time.
In the 20th century the record was held by George Koltanowski who played 34 simultaneous blindfold games on 20 September 1937, in Edinburgh.
The current world record is 48 blindfold games played simultaneously by Timur Gareyev. This was sufficiently big news to make the regular press and was reported in Leonard Barden's chess column ion the Guardian newspaper.
Do you feel chess masters who can play Blind chess games by winning
shows more mastery over chess game than who can look at chess boards
Neither Koltanowski nor Gareyev are anywhere near world champion level although Koltanowski was a GM and Gareyev is currently a GM. Giving a blindfold simultaneous display is a party trick. It is impressive and difficult but nowhere near as difficult as beating the world champion.