The transcript of the inquest, consist of eight pages, are available on The Vasa Museum's website although in Swedish; one JPG-file for each authentic page, and one PDF-document with the transcript.
On the same website you can also find the inquest of Captain Söfring.
Click here to get access to the transcript in Enlish: Partial transcript of inquest into sinking of Vasa.pdf.
Dr. Fred Hocker, Director of Research at the Vasa Museum, has translated parts of the transcript and made some comments in the document.