You can make use our so called nested mutations to accomplish that.
First of all, let's see how we can do it from the GraphiQL playground:
mutation createNestedCompany {
  createCompany(
    owner: {
      name: "Mickey"
      email: "mickey@mouse.com"
    }
    addresses: [{
      street: "A street"
      city: "A city"
      country: "A country"
      contacts: [{
        name: "Mickey"
        email: "mickey@mouse.com"
        phone: "+1 23456789"
      }]
    }, {
      street: "B street"
      city: "B city"
      country: "B country"
      contacts: [{
        name: "Minney"
        email: "minney@mouse.com"
        phone: "+9 87654321"
      }]
    }]
  ) {
    id
    owner {
      id
    }
    addresses {
      id
      contacts {
        id
      }
    }
  }
}
Note that the createCompany mutation has the object argument owner and the list object argument addresses. addresses has a nested contacts list object argument.
Using Apollo Client, we specify input arguments with GraphQL variables, so let's see how it looks in this case:
const createNestedCompany = gql`
  mutation createNestedCompany(
    $owner: CompanyownerUser
    $addresses: [CompanyaddressesAddress!]
  ) {
    createCompany(
      owner: $owner
      addresses: $addresses
    ) {
      id
      owner {
        id
      }
      addresses {
        id
        contacts {
          id
        }
      }
    }
  }
`
When calling the mutation with Apollo, we now have to specify the variables as an object:
const variables = {
  owner: {
    name: "Mickey"
    email: "mickey@mouse.com"
  }, 
  addresses: [{
    street: "A street"
    city: "A city"
    country: "A country"
    contacts: [{
      name: "Mickey"
      email: "mickey@mouse.com"
      phone: "+1 23456789"
    }]
  }, {
    street: "A street"
    city: "A city"
    country: "A country"
    contacts: [{
      name: "Minney"
      email: "minney@mouse.com"
      phone: "+9 87654321"
    }]
  }]
}
and call the mutation with the variables:
this.props.createNestedCompany({ variables })
  .then((response) => {
    console.log('Company, owner and addresses plus contacts created');
  }).catch((e) => {
    console.error(e)
  })
The variable types CompanyownerUser and [CompanyaddressesAddress!] depend on a combination of the multiplicity (to-one; to-many), the related models (Company and User; Company and Address) and the related fields (owner; addresses). You can find all type names in the GraphiQL playground docs when you navigate to the createCompany mutation.