Yes, Lemongrass can grow great indoors in a container.
Because it is not frost tolerant, bringing your lemongrass inside can protect it from winter’s cold temperatures. Grow or transplant your lemongrass into a 5 gallon container, and place in an area that receives 6-8 hours of sunlight.

In warmer climates, lemongrass can grow back every year. However, this perennial herb is not frost tolerant and will behave like an annual in climates with cold winters. For this reason bringing your lemongrass indoors for the winter is a way to keep your plant alive over winter.

Yes, lemongrass can spread quickly and in some areas can be considered invasive.
Because of its competitive and versatile nature, lemongrass can overtake plants in the area and spread quickly, using up their resources. With these features and insect repellent properties, lemongrass is great when grown as a perimeter plant or in a container.

To save lemongrass seeds, let the seeds begin to dry out on the plant. Remove the seeds by rubbing or stripping the seed from the stalk. The more the seeds dry on the plant, the easier they will be to remove. However, dry seeds will be blown away and scattered from the wind, so be sure to harvest the seeds before they fly away.