。
Please leave your hat and overcoat in the entryway.
Literal
Hat [and-と] overcoat [topic-は] entryway [at-に] honorable-place-[polite-request-ください]
お置きください is the honorific pattern お + verb-stem + ください — more deferential than 置いてください. Typical in hospitality contexts (restaurants, inns, formal homes) where the speaker serves the listener. 玄関 is the formal entryway of a Japanese home or building, where shoes are removed and outerwear is often set aside.