The easiest and fastest way to transfer the extracted iPhone Media folder is by using USB cable: it's enough to connect the phone to your PC/Mac and you should able to copy over the whole folder.

Anyway, if you can't do so, you can proceed through Google Drive or Dropbox, by following the below.

  1. compress the Media folder to ZIP archive (right click -> compress)
  2. put the ZIP file on Google Drive or Dropbox - this could take some time depending on how fast your Internet connection is
  3. use the Google Drive or Dropbox app on your phone to download the ZIP file on your phone
  4. use Android WinZip app to extract such ZIP file

This is because no Android app can read a whole folder on Google Drive or Dropbox, but only single files.