Rick Renteria, AJ Hinch and Manny Acta have all been publicly linked to the job thus far- others that have been contacted, either by feelers or have let the team know they have interest to this point are:
None seem to have had the FO return the interest to this point, although I've heard Pena and Brenly may get phone interviews...
Current managers that have had feelers sent to via back channels:
The interest in Mattingly seems genuine, although he may have already told the team he's not interested
The FO seems to have already interviewed Don Wakamatsu and possibly Omar Vizquel as well, although the latter may be for possible bench coaching spot...