The part of sentence "despite his limitations" is correct and can be used in written English.
For example, "John is a hardworking man, despite his limitations."
What buoys him, despite his limitations, is having a purpose.
Juan Carlos Rivas, the conductor, ran the gamut from mezzopiano to mezzoforte; despite his limitations the Orchestra of St . Lukes did reasonably well.
Despite his limitations on the court, Collins is widely respected for his intelligence, loyalty and strong work ethic, which are accompanied by a wicked sense of humor.
Despite his limitations, Abbas may be the last Palestinian leader with the moral authority and political legitimacy to speak and act on behalf of the entire nation on vital existential issues such as a final agreement with Israel.
This made for an awkward conversation for Zmuda, an admitted homophobe, but his account of the conversation is also touching for how much he, despite his limitations, deeply loved and accepted Kaufman as a person.
Despite his limitations, he's a good person, and he has to do right: he's the President who came after the Candlelight Revolution, where millions of people came into the streets and deposed a President.
Despite his physical limitations and lack of clay-court pedigree, he has succeeded in capitalizing on his soft draw and reaching his first French Open semifinal.
In a long e-mail to Ms. Brekke, Mr. Lepofsky wrote, "There is no reason why, despite his vision limitations, Jim should not be able to read what he wants, including daily newspapers, in a relaxing way and without having to become a high-end computer scientist".
Despite his massive limitations and unpleasantness, Louisa is determined to bring Will out of his confinement.
He stayed on the last few weeks because he gave pretty good performances, despite his vocal limitations.
This book could have easily fallen into a familiar pattern at this point: crusty rich man falls for plucky poor girl and they live happily ever after despite his physical limitations.
