Broccoli 1. Q. Can broccoli be grown in the spring and the fall A. Generally, yes, depending upon the variety, the area of Texas and the time planted. Broccoli does best when temperatures remain between 40 degrees and 70 degrees F. during the growing period. In most areas broccoli grows best if planted in late summer so it can mature during cool periods. Temperatures below 25 degrees F. can ...