You may take home vacuum-packed cheeses; dried herbs, spices, or mushrooms; and canned fruits or vegetables, including jams and vegetable spreads. Baked goods, candy, chocolate, oil, vinegar, mustard, and honey are OK. Fresh fruits and vegetables (even that banana from your airplane breakfast) are not permitted.
People Also Ask
What Do I Have to Declare at U.S. Customs?
Plants, seeds, food, fruit, vegetables, insects.
Meat, animals or animal products.
Disease agents, cell cultures, snails.
Soil, or if you have been on a farm, ranch, or pasture.
Since olive oil is classified as a condiment derived from a vegetable, it does not fall into any of these major inadmissible categories; therefore, it is a safe assumption that the transportation of olive oil for personal and private consumption is accepted in your country.
Yes, you may pack food in your carry-on or checked bag, but remember all food must undergo x-ray screening. Foods that are liquids, gels, or aerosols must comply with the 3-1-1 liquids rule. TSA officers make the final decision on whether certain items are permitted into the secured areas of the airport.