The phrase "allows me to visit" is correct and usable in written English.
You can use it when expressing permission or opportunity to go to a place or event.
Example: "The new policy allows me to visit the office more frequently."
Alternatives: "enables me to visit" or "permits me to visit".
"If he were alive, they would have allowed me to visit him," he said in a telephone interview from his home in Shaanxi Province.
During roughly the same period in which the Justice Department refused to let me meet with her for security reasons, the National Nuclear Security Administration allowed me to visit three high-security nuclear-weapons sites.
The State Department wouldn't allow me to visit the building, and no State Department official would speak about the Diversity Visa Program for the record or venture an opinion on how it serves the national interest.
But, perhaps sensing that her husband had something further to say to me about the Oklahoma frontier, she allowed me to visit their suite for a few more minutes of his time.
Published just weeks before Cohen's death, Remnick's piece allowed me to visit with the artist at the end of his life, and to benefit from the self-acceptance and wisdom that he had achieved.
My supervisor, Dr. Wagemaker, advised me to apply for a Marie Curie Individual Fellowship which would allow me to visit a lab with great expertise in vector design and learn a lot about molecular biology and gene transfer.
It has allowed me to visit some of the cleverest technology companies around the world and meet many of those shaping our future, from Amazon's Jeff Bezos to Mark Zuckerberg of Facebook.
I think the main thing that contributed was my experience as a teen as a ham radio operator that allowed me to visit more than 100 countries vicariously, places I later have tried to visit from the polar regions to remote Africa, to the ex-Communist countries.
For years I begged my parents to to allow me to visit Romania to experience my heritage.
