Best Perennial Herbs for Zone 7 Gardens in Texas Chives. The spring onionyflavor of chives (Allium schoenoprasum, USDA Hardiness Zones 4-8) is a favorite in spring dishes. Oregano. Oregano (Origanum vulgare, USDA Hardiness Zones 4-10) thrives in sun and has low, rooting stems that spread, so be sure to give it space to grow. Thyme. Sage. French Lavender. Rosemary. Click to see full answer. Simply so, what herbs come back every year?Perennial herbs like sage, thyme, lavender, chives and mint do not need to be replanted each year. But annuals like basil and cilantro will not survive an Iowa winter – so they must be replanted each spring. To make matters more confusing, dill, fennel, and a few other annual herbs reseed each year.One may also ask, is Rosemary A perennial in Zone 7? Rosemary also is great with pork, chicken and even potatoes. Grown from either plants or seeds, rosemary is an outstanding perennial performer in Zones 7 to 10 with reports of it thriving in Zone 6 not uncommon. Plants can be brought indoors to overwinter in colder zones. Also know, is thyme a perennial in Zone 7? Outdoors, German thyme is perennial in zones 5 to 9, lemon thyme in zones 7 to 9. Easy to grow, thyme needs little care except for a regular light pruning after the first year. Do this after the last spring frost, so that the plants do not get woody and brittle.Is lemon balm a perennial in Zone 7?7 Herbs that Grow in Shade: Lemon Balm. Lemon balm (Melissa officinalis; Zones 3-7) is a European perennial that does as well in shade as it does in full sun. Its delightful lemon scent comes from its high essential oil content. The leaves are best harvested in mid-spring.