Heat a griddle pan until smoking. Drizzle the tortilla strips with olive oil and place into the griddle pan. Cook for 1-2 minutes on each side, until crisp.
Place all of the remaining ingredients, except the parsley sprig, into a food processor and blend until smooth.
To serve, place the guacamole into a serving bowl and garnish with the parsley. Place the crisp tortilla strips on a plate alongside.