In order to run Integration Tests in your release pipeline. You should include your Test projects or test assembly dll files in the artifacts published in your build pipeline. So that your Integration test projects are accessible to the test tasks in your release pipeline.
To Include your test files in the artifacts. You can add a second publish build artifacts  task in your Build Pipeline. Specify Path to publish to the location of your test files. Fore below example.
I add a another publish build artifacts task to publish all the test files that needed to run the tests.

Then I specify the Path to publish field to folder that contains all the test files.

After the build pipeline completed. You will see the Test folder being added to the build artifacts and published to the azure devops pipeline server.

Now you can run your tests in your release pipeline by adding the VsTest task or other test tasks in your release pipeline. The release pipeline will download your artifacts to
folder $(System.DefaultWorkingDirectory)(eg. C:\agent_work\r1\a).
For above example you will find the test files in folder $(System.DefaultWorkingDirectory)\artifact_alias\Test and the artifacts to be deployed in $(System.DefaultWorkingDirectory)\artifact_alias\drop.
Then you can either create a new stage with vstest task before deployment stage as @Kontekst mentioned, or just add the vstest task on the top of your deployment stage before your deployment task.

In above screenshot I add the Vstest task before the Azure deployment task and point the Search folder to the Test folder where the test files reside.
Update:
You can find the artifacts-alias in the field shown in below screenshot.

The main idea is to publish the test files in the artifacts in build pipeline and then add the test tasks in the release pipeline to run the tests.