Yes. Lodge Cast Iron says any utensil is welcome on its seasoned cast iron cookware, including silicone, wooden, and even metal spatulas and tongs, because cast iron is the most durable metal you are likely to cook with.
Seasoned cast iron has no paint or synthetic nonstick coating to scratch. Its black, easy-release surface is seasoning: cooking oil baked onto the iron at high temperature, which leaves a carbon patina and helps prevent rust. Lodge seasons new pans at the foundry by spraying them with vegetable oil and baking them, and the seasoning builds as you cook. If the seasoning wears thin, for example after long cooking of very acidic foods, you can re-season the pan; even rust can be scrubbed off with steel wool before re-seasoning. Lodge also says mild dish soap is fine. The one caution is that cast iron is durable but not indestructible: it will break before it bends, so avoid dropping it.
Source: Lodge Cast Iron, 10 Myths About Cast Iron Cookware, Busted!
Image: Cast iron skillets, by FiveRings at English Wikipedia, public domain, via Wikimedia Commons.