You can use InjectMocks annotation. See below example:
MyService class:
public class MyService {
    ManagerHandler someManager;
    public MyService() {
        this.someManager = ManagerHandler.getDefault();
    }
    // other methods
    public String greetUser(String user) {
        return someManager.sayHello(user) + ", Good Morning!";
    }
}
ManagerHandler class:
public class ManagerHandler {
    public static ManagerHandler getDefault() {
        return new ManagerHandler();
    }
    public String sayHello(String userName) {
        return "Hello " + userName;
    }
}
TestClass:
import static org.junit.Assert.assertEquals;
import org.junit.Test;
import org.junit.runner.RunWith;
import org.mockito.InjectMocks;
import org.mockito.Mock;
import org.mockito.Mockito;
import org.mockito.runners.MockitoJUnitRunner;
@RunWith(MockitoJUnitRunner.class)
public class TestClass {
    @Mock
    ManagerHandler someManager;
    @InjectMocks
    MyService myService = new MyService();
    @Test
    public void test() {
        //mock methods of ManagerHandler
        Mockito.when(someManager.sayHello("Alice")).thenReturn("Hello Alice");
        assertEquals("Hello Alice, Good Morning!", myService.greetUser("Alice"));
    }
}