public static async Task TestAsync()
{
    var client = new MongoClient();
    var db = client.GetDatabase("test");
    var col = db.GetCollection<User>("users");

    await db.DropCollectionAsync("users");

    await col.InsertOneAsync(new User
    {
        Id = "1",
        AppIntegrations = new[] 
        { 
            new UserAppIntegration { AppName = "App1", CanRemove = true },
            new UserAppIntegration { AppName = "App2", CanRemove = false },
        }
    });

    var pipeline = col.Aggregate()
        .Match(u => u.Id == "1")
        .Project(u => u.AppIntegrations.Select(i => new UserAppIntegrationStatus { AppName = i.AppName, CanRemove = !i.CanRemove }));

    var results = await pipeline.ToListAsync();

    //warm up

    Console.ReadKey();
}

public class User
{
    public User()
    {
        AppIntegrations = new UserAppIntegration[0];
    }

    public string Id { get; set; }
    public string Email { get; set; }
    public UserAppIntegration[] AppIntegrations { get; set; }
}

public class UserAppIntegration
{
    public string AppName { get; set; }
    public bool CanRemove { get; set; }
}

public class UserAppIntegrationStatus
{
    public string AppName { get; set; }
    public bool CanRemove { get; set; }
}

var pipeline = col.Aggregate()
                .Match(u => u.Id == "1")
                .Project(u => new { SomeField = u.AppIntegrations.Select(i => new UserAppIntegrationStatus { AppName = i.AppName, CanRemove = !i.CanRemove }) });