In all the consent forms that I signed, the risk of ICSI is that the egg may be damaged by icsi or may not fertilize. However, in general, icsi has a much higher fertilization rate than conventional ivf. It also costs more.
I also found this online from the UK government.
https://www.healthcentre.org.uk/fertility-treatment/icsi.html
What are the disadvantages of ICSI?
ICSI’s method of directly introducing sperm into an egg defeats the natural process of only a select few sperm making it to and fertilising an egg. This can be a disadvantage because this selection process is nature’s way of making sure that the best sperm with the best genetic material are the ones with the best chance at fertilising an egg. Removing that selection process can lead to an increase risk of developmental and health issues for ICSI children, as well as a higher risk of miscarriage because of the poorer genetic material involved.
That being said at present there is no strong research proving that any of the babies conceived by ICSI have developed impairments in their cognitive and motor skills, but there is an indication of a greater risk of physical abnormalities. An international investigation into ICSI babies found that 4.2% had a major disability, most of these around male genitals. That 4.2% is thrice the number of children with similar malformations who were conceived naturally. This study also showed that a higher percentage of ICSI and IVF children suffered from a significant illness during their childhood.
As ICSI has only been in use for less than two decades, some concerns are hard to dismiss at present. One of these is the worry that children conceived through ICSI are infertile or sub-fertile as a consequence of the procedure, but again because the technique hasn’t been in use for that long, there is no concrete evidence to back such a claim.
Research into the effects of ICSI is still on going, although it might be a while before concrete findings can establish or affirm any of the more severe concerns about the technique. If you have any worries yourself, then the best thing to do is talk to your doctor, whose experience in the field and matter will shed some light on the matter and help you decide whether or not you would like to pursue ICSI as a fertility treatment.