Cook fettuccine with tablespoon salt to 1 minute short of package time. Reserve 1 cup pasta water; drain.
Meanwhile, melt butter in large skillet over medium-low; stir garlic 30 seconds. Add spinach by handfuls; cook 2 to 3 minutes until wilted and moisture evaporated.
Add artichokes, cream, milk, sauce salt, and pepper; gently simmer 2 minutes. Add pasta and 1/4 cup reserved water; toss 1 to 2 minutes until tender.
Remove from heat; gradually add Parmesan, gently folding to keep artichokes intact.
Loosen with pasta water if needed; serve with spinach and artichokes distributed through noodles.