A pharmaceutical executive who came under fire for increasing the price of an antiparasitic drug by more than 5,000 percent is the mystery buyer of the only known copy of the new Wu-Tang Clan album that was auctioned off for millions of dollars, a report said on Wednesday.

Bloomberg Business quoted the executive, Martin Shkreli, the 32-year-old founder of Turing Pharmaceuticals, as saying that the deal for the album, “The Wu — Once Upon a Time in Shaolin,” was closed before the drug-pricing controversy erupted. Mr. Shkreli drew public outrage for increasing the price of the drug Daraprim to $750 from $13.50 per pill.

“I was a little worried that they were going to walk out of the deal,” Mr. Shkreli was quoted by Bloomberg Business about the album purchase. “But by then we’d closed. The whole kind of thing since then has been just kind of ‘Well, do we want to announce it’s him? Do we not want to announce it’s him?’ ”

The article reported that “someone familiar with the deal” said the Wu-Tang Clan sold him the album for $2 million.