Scottish Football Association set to determine whether David Martindale passes criteria for fit and proper club officials.
Martindale has won four out of four in his role as interim manager following Gary Holt's resignation.
The 'violent unprovoked' assault happened at around 11pm on Thursday in Livingston.
Social media poll into 37-year-old Gary Maley's future attracted hundreds of thousands of votes.
The West Lothian club says it supported Rangers' calls for an independent investigation into the SPFL vote.
Eliburn Mini Market in Jackson Place, Livingston, was torched during the early hours of Tuesday.
The store, on Thymebank in Livingston, was targeted at around 4.55pm on Monday.
Amie Choat, 13, was last seen in the Staunton Rise area of Livingston at around 8.30am on Tuesday.
Leeanne Aitken, 45, died at the scene of a three-car crash in West Lothian.
Emergency services attended the incident on Cousland Road, Livingston, around 3.20pm on Wednesday.