Shall I stop exercising?

The question should point back to you.. what do you think? Do what feels right.

Personally, I had to stop with the HIIT because not only did it increase my appetite, but also made me less active during the day. I now only do it once a week in the evening and only for 10 or so minutes. I stick to low intensity (walking) and moderate intensity (slow jogging). I also don't do weight lifting as it does the same for me, I stick to short body weight sessions.

Do what feels right to you. Try exercising in the evening to see if the effect carries to next day (doesn't carry for me for short HIIT), try changing the type of exercise, try playing with your eating patterns (eating before vs after exercise, meal size, meal timing..etc). Just experiment with various things to see if you can manage to come up with a sustainable routine. You may or may not need to reduce/stop exercising.

Edit: one more thing comes to mind, are you eating back your exercise calories? It could simply be a case of not fueling your activity correctly, which sometimes leads to compensatory overeating.

Although HIIT isn't a high calorie burner it can make some people disproportionally hungry.

Maybe try changing your exercise rather than stopping?

HIIT burns a lot of calories so it's only logical that your appetite will go through the roof. Do less HIIT and make sure you eat during the day and don't go hungry.

I've been dealing with injury the past 6 months, and couldn't exercise, not my favorite way at least ( i love cycling, but can't do it still because of it). Played some roller hockey here and there, did some walking, but nothing steady, not the way i used to ride. About a month ago i decided that i should do something, at least and I'm doing some body weight exercises, which isn't nearly as fun, but don't take 2-3 hours either, so i guess it's a compromise and better than not doing anything at all. I lose just fine, need to constantly update my wardrobe, which consists of getting things that are too big and not wearable anymore out of my closet. Exercise is more of a fitness tool, not weight loss. So you can try to change what you do, also how about try to play with your macros, your body might be craving fats or proteins in addition to what you're eating, and sends those hunger signals. Listen to your body. Sometimes i get that way too, and nothing seems to fill the void until i hit just the right thing, which is very often a handful of nuts for me, I'm nuts about nuts this days. Good luck, op.

For me, not being hungry is more about what I eat than how much I eat...I find fat will satisfy my hunger and not leave me craving more food, but for some people carbs or protein are more satisfying...maybe try looking at your diary and macro ratios to determine if you have less hunger when you eat more of one or the other - or try experimenting with upping one for a few days/weeks and paying attention to how that impacts hunger levels.