API Platform allows for managing file uploads by integrating tools like VichUploaderBundle. To upload files, you can configure your API to accept multipart data in requests. VichUploaderBundle simplifies the process by providing a flexible solution for associating files with entities, managing file storage and retrieval with easy configurations. This integration enables efficient handling of uploaded files, storing them either in the local file system or in external storage services, while offering a consistent and integrated approach for managing files within your APIs.