Re-render React component when prop changes

You have to add a condition in your componentDidUpdate method.

The example is using fast-deep-equal to compare the objects.

import equal from 'fast-deep-equal'

...

constructor(){
  this.updateUser = this.updateUser.bind(this);
}  

componentDidMount() {
  this.updateUser();
}

componentDidUpdate(prevProps) {
  if(!equal(this.props.user, prevProps.user)) // Check if it's a new user, you can also use some unique property, like the ID  (this.props.user.id !== prevProps.user.id)
  {
    this.updateUser();
  }
} 

updateUser() {
  if (this.props.isManager) {
    this.props.dispatch(actions.fetchAllSites())
  } else {
    const currentUserId = this.props.user.get('id')
    this.props.dispatch(actions.fetchUsersSites(currentUserId))
  }  
}

Using Hooks (React 16.8.0+)

import React, { useEffect } from 'react';

const SitesTableContainer = ({
  user,
  isManager,
  dispatch,
  sites,
}) => {
  useEffect(() => {
    if(isManager) {
      dispatch(actions.fetchAllSites())
    } else {
      const currentUserId = user.get('id')
      dispatch(actions.fetchUsersSites(currentUserId))
    }
  }, [user]); 

  return (
    return <SitesTable sites={sites}/>
  )

}

If the prop you are comparing is an object or an array, you should use useDeepCompareEffect instead of useEffect.