Banana peppers are one of the milder forms of peppers. Available in sweet or hot varieties, they can easily be grown in pots. Sweet banana peppers can be planted in any growing zone, but they do best in areas where warm weather lasts longer. When planning the type of pot you need for your banana peppers, you need to look at what these plants require to grow. Providing each plant with enough space, soil and moisture in a pot will help to ensure your success.