Heat the olive oil in a large skillet over medium-low heat. Add the garlic and cook for about 1 minute, stirring often, until fragrant but not browned.
Add the sun-dried tomatoes, oregano, red pepper flakes, salt, and black pepper. Cook for 1 minute, stirring frequently.
Stir in the tomato paste and cook for about 30 seconds.
Pour in the vegetable broth and vegan cooking cream. Add the chickpeas and baby spinach, then stir well, scraping the bottom of the skillet to incorporate the tomato paste.
Increase the heat to medium and bring everything to a gentle simmer.
Simmer gently for 5–7 minutes, stirring occasionally, until the spinach is wilted and the sauce lightly coats the chickpeas.
Remove the skillet from the heat. Stir in the nutritional yeast, fresh basil, and lemon zest. Taste and adjust the salt or red pepper flakes as needed.
Let the chickpeas rest for 2–3 minutes before serving.