"To expect this season" means to anticipate or predict what is likely to happen during a certain time period or period of activity, such as a sports season, television season, or any other period with events or activities. Full definition
And in truth the fans I talk to are not expecting this season to yield anything. (justarsenal.com)
The Gunners have not been performing as well as expected this season picking up just one win from the season's first three fixtures. (tsmplug.com)
I would never expect season ticket holders to give up their tickets, due to the 50,000 waiting list and thus the difficulty of buying back in. (justarsenal.com)