Williams F1 driver Massa feels a combination of new asphalt laid on the Interlagos circuit for this year's race and inclement November weather will make it difficult to use those compounds of tyres effectively.
The Brazilian called the choice "completely unacceptable" and urged Pirelli to change its allocation for the event.
"I have no idea why they choose medium and hard, it's completely unacceptable," Massa said.
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"It's a track that you can have rain, it's a track that can be cold, but you have the hard tyre and it can be dangerous. I don't understand it.
"They change the asphalt [for this year], and normally whatever track I go to where they put down new asphalt, it gets even easier on the tyres.
"I have no idea why they choose these tyres."
Fernando Alonso described Pirelli's tyre choice for Brazil as "very surprising", while Massa said he had made his feelings known to the supplier in an effort to get the allocation changed.
Pirelli's motorsport boss Paul Hembery described the criticism as "a bit strange" but said his organisation would re-examine its Interlagos tyre choice to see if there are grounds for change.
"We have used the harder tyre at Interlagos before and nobody said anything, so I don't know why now people want to criticize, it seems a bit strange," Hembery said.
"There has been talk about the effect of the resurfacing; it is a track that has a lot of lateral forces, and it risks being very hot.
"You obviously make decisions based on data that you've got, [but] if there is a question mark about that then we can look at it.
"We have a tyre working group coming up with all the tyre experts, and we will go through it with them."
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