const managers = Persons.filter(person => person.Manager)

const Persons = [
  { Name: 'xz', Job: 'abc', Manager: true },
  { Name: 'xy', Job: 'ac', Manager: false },
  { Name: 'z', Job: 'a', Manager: true }
];

const managers = Persons.filter(person => person.Manager);

this.setState({ persons: managers });