In the 12 years since my diagnosis I have never had a vaccination against Flu. I did have a pneumovax after my transplant but that was recommended only because I my spleen was removed just after diagnosis because it was so massively enlarged and the plan then was to transplant me immediately- as it turned out I was able to access imatinib by joining the phase ll trial in the US so the sct was put on hold.
As Richard says, as long as your white cell counts are in normal ranges then you are no more at risk of infection than any healthy person. Your ph+ white cells (CML cells) are kept at low levels by TKI's and so the majority of cells produced by your marrow (and therefore circulating in your peripheral blood) are entirely as they should be and will respond to infections- bacterial and viral- in the usual way. i.e your lymphocytes will mount an immune response to deal with the cold/flu/or whaterever infection you might contract. The symptoms of colds and flu etc are a sign that you body is dealing with it. Raised temperature/running nose/sneezing/aches and pains etc are part and parcel of the immune response. This is how it works- admittedly not very nice when it is happening but essential if we are to get well.
As long as you have an optimal response to whatever TKI you are taking, then there is no need to worry about whether you are 'exposed' to infections so your parents should not worry. Of course, if you feel you would like the extra insurance of a Flu vaccination then you should have one.
My parents - in their 80's, but both very fit and active- have recently decided not to have their flu jabs this year, because in previous years they have not been protected from that current years flu virus.
It is entirely up to you, but if you are fit and healthy with normal white cell levels then you should be able to deal with seasonal flu virus quite normally. ...
best wishes,
Sandy