First, note the following:

• You can move multiple files at once.
• Unless you are an administrator, you can’t move folders from My Drive into a shared drive, but you can create new folders in a shared drive. For details about moving folders as an admin, see Migrate content to a shared drive.
• Anyone you directly shared a file with retains access, unless your shared drive doesn’t allow non-members.
• People who had access to the file from a folder that's been shared don’t retain access once you move a file. If you want these people to keep access, update your permissions after moving your files to a shared drive.
• When you move a file to a shared drive, the team becomes the owner of the file.

To move files from My Drive into a shared drive or between shared drives, drag the files into the destination shared drive. To move folders,
contact your G Suite admin.

Move files from My Drive to a shared drive:

You can move any file you own into a shared drive, whether it’s from another Drive location or from your computer or mobile device.

If you’re not the owner of a file in My Drive, but you have at least Edit access to the file, you might be able to move that file into a shared drive, if:

• Your G Suite admin has enabled this option.
• The file’s owner is a member of the shared drive where you want to move the file.

Otherwise, you need to ask the owner to move the file into the shared drive.