According to Hatton, Murray blocked most of the Argentine's southpaw's best punches in the early rounds before taking over the second half of the contest in front of more than 40,000 fans in Buenos Aires.
Murray scored a knockdown in the eighth round and had the Martinez over again in the tenth only to see it ruled a slip.
Despite this, and punch stats leaning in Murray's favour, all three judges posted scores of 115-112 for the home boxer.
"I think Martin should be the middleweight champion of the world," a dejected Hatton said.
"It was a good competitive fight but there was only one winner for me.
"When you go into the lion's den you have to rip the title from the champion and although he couldn't finish as strong as he we would have liked, Martin was the aggressor.
"He also scored a knockdown and it should have been two in my opinion.
"I think if one good thing did come out of the fight, it's that we now know that Martin is the best middleweight in Britain as his performance against Martinez eclipsed Macklin and Barker's by a long a way."
Another Hatton Promotions fighter, Gary Buckland, is flying home from South America disappointed as his WBC International Silver super-featherweight title fight Fernando David Saucedo was cancelled at the last minute due to a number of fans storming the ring following the Martinez-Murray bout, rendering it unfit to host another fight.
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