"despite controversy" is correct and usable in written English.
You can use it to demonstrate contrast between two ideas, for example, "Despite controversy, the evidence shows that the new law will be beneficial."
Johns finished eighth on American Idol in 2008 despite controversy.
Despite controversy over whether the sinking was a military necessity, Admiral Woodward remained unwavering.
Mr Dell'Utri, a Sicilian, remained close, despite controversy over his alleged links to Cosa Nostra.
Despite controversy over Facebook's policies on privacy and censorship, we've been liking and sharing for a decade now.
Also returning from London is Muhammad, who won bronze in 2012 despite controversy over his selection ahead of Aaron Cook.
Noah has been a huge hit in the US, despite controversy over its unorthodox depiction of the antediluvian patriarch.
FIFA will once again keep the top four teams apart in the draw for Europe's World Cup qualifying play-offs - despite controversy over the system four years ago.
The Social Democrats in Germany formally nominated Peer Steinbrück to run for chancellor, despite controversy over $1.7 million he earned from speaking fees.
And auctions held in aid of charity continue to offer internships to the highest bidder, Education Guardian has discovered, despite controversy over previous sales.
Quentin Tarantino's Django Unchained is proving hugely popular amongst African American cinemagoers despite controversy over the film's depiction of slavery and its liberal use of the "N" word.
The case is embarrassing for Karimov and his western allies, including London and Washington, which court him despite controversy over Tashkent's atrocious human rights record.
