<Window x:Class="WpfApp2.MainWindow"
        xmlns="http://schemas.microsoft.com/winfx/2006/xaml/presentation"
        xmlns:x="http://schemas.microsoft.com/winfx/2006/xaml"
        xmlns:d="http://schemas.microsoft.com/expression/blend/2008"
        xmlns:mc="http://schemas.openxmlformats.org/markup-compatibility/2006"
        xmlns:local="clr-namespace:WpfApp2"
        mc:Ignorable="d"
        Title="MainWindow" Height="350" Width="525">

  <StackPanel>
    <CheckBox x:Name="check" Content="Покажи" />
    <ItemsControl ItemsSource="{x:Static local:ItemsSource.List}" ItemTemplate="{StaticResource QQQ}">
      <ItemsControl.Style>
        <Style TargetType="ItemsControl">
          <Style.Triggers>
            <DataTrigger Binding="{Binding IsChecked, ElementName=check}" Value="False">
              <Setter Property="Visibility" Value="Collapsed" />
            </DataTrigger>
          </Style.Triggers>
        </Style>
      </ItemsControl.Style>
    </ItemsControl>
  </StackPanel>
  
</Window>

<ResourceDictionary xmlns="http://schemas.microsoft.com/winfx/2006/xaml/presentation"
                    xmlns:x="http://schemas.microsoft.com/winfx/2006/xaml"
                    xmlns:local="clr-namespace:WpfApp2">

  
  <DataTemplate x:Key="QQQ">
    <TextBlock Text="{Binding Mode=OneWay}" Foreground="Aqua" />
  </DataTemplate>
  
    
</ResourceDictionary>

using System;
using System.Collections;
using System.Collections.Generic;
using System.Linq;
using System.Text;
using System.Threading.Tasks;

namespace WpfApp2
{
	public class ItemsSource
	{
		public static List<string> List = new List<string> { "aa", "bb", "cc" };
	}
}