Generally it is added at the exponential phase but what if we add it initially at the time of preparation of cell supension / and till what duration the elicitor treatment should be given?
You have mentioned that you want to elicit the suspension from the first day, so have you established callus from the explant?probably yes because then only u can go for suspension culture. And generally the elicitor is added at exponential phase but if you want to add at the time of preparation of suspension then I think you have to increase the time duration for e.g. 4 to 8 weeks, then only you can observe the effect of it.
I hope you do have access to this research article by the legendary Verpoorte et al. Zhao, J., Davis, L.C. and Verpoorte, R., 2005. Elicitor signal transduction leading to production of plant secondary metabolites. Biotechnology advances, 23(4), pp.283-333.
and if you refer to the Figure 2, it clearly shows as to what response is elicited in what time ? For instance, if you are looking for Ca2+ mediated responses, things can happen in a matter of seconds. Also, say 1 hour for response of a bacterial elicitor, ROS in some time scale and so on.
Depends also on what kind of cell suspension is it? Mixotrophic or photoautotrophic and from what species, what it is destined to do, and what you want it to get re-routed for ?
So depends on what you are looking for (what kind of product- a protein, physiological response such as ROS, a transcript/ gene or a natural product (small molecule- metabolite) which may take a few days to get synthesized and accumulated?
Short term versus long term responses can be so different !
A lot of background experiments (pilot studies) need to be conducted first of all- screening for your products/ out puts with small scale but repeatable experiments.
And then go for final studies with suitable time-course etc.