In a large bowl, combine chopped chicken and celery.
In another bowl, whip cream by hand until thickened. Add lemon juice, mayonnaise, salt and pepper. Whisk together until smooth.
Pour dressing over chicken and celery. Add sliced almonds and mix until combined.
Refrigerate for at least 1 hour. Sprinkle with chopped parsley before serving.
Make Ahead: The components can be made up to 2 days ahead of time. Store chicken, celery, almonds and parsley in one bowl and dressing in a separate container in the refrigerator. Combine dressing with other ingredients before serving.