Does the “Greeks” Exposure of a Large Options Position Change the Strategy for Minimizing Its Execution Slippage?

Yes, absolutely. The Greeks (Delta, Gamma, Vega, Theta) measure the risk exposures of an options position.

A large order with high Delta, for instance, has significant directional market risk. The execution strategy must therefore be fast enough to avoid adverse price moves while still minimizing slippage.

An order with high Vega is sensitive to volatility changes, so a trader might try to execute it during periods of stable implied volatility. The urgency dictated by the Greeks must be balanced against the patience required to minimize market impact.