The West Bromwich Albion manager's methods are said to have come into question.
Pardew has overseen just one league win since his appointment at the end of November, but it is Williams - the former West Brom chairman - and Goodman - chief executive - who are dismissed by Baggies owner Guochuan Lai.
It remains to be seen, however, how long Pardew will have have to turn things around for Albion, who remain rooted to the foot of the table - seven points adrift of safety - after Monday's 3-0 defeat at Chelsea.
The Telegraph reports that the 56-year-old's methods and management are 'understood to be causing some friction within the squad', and adds that many players are said to be unhappy at having to travel to Barcelona for a training camp this week.
Alan's sacking over-Dew?
Several West Brom fans seem to think so, judging by their reaction to last night's defeat on Twitter.
The former Newcastle United and Crystal Palace manager was an unpopular appointment to start with, and it is difficult to see how he turns this around after the famous Pardew bounce failed to materialise.
The Baggies host Southampton in the FA Cup on Saturday, before fellow strugglers Huddersfield Town visit the Hawthorns seven days later.
A negative result in the latter fixture may just seal the Londoner's fate.
Can Pardew turn things around at West Bromwich Albion?