University of Geneva offers some classes, you could check them websites. 

Good luck

Iam also new to geneva , i am going to Join Migros Learning school on Coming tuesday for beginners class.

256 CHF for 8 classes

Hi I have been teaching french for the last 20 years, am a french native, have grown up in NYC, thus am perfectly bilingual. I specialize in finance and economics. I tailor my classes to your needs: conversation (with in situ exercises), reading (in order to pronounce correctly!) and playful grammar :)) I can teach anywhere in Geneva, monday to friday, from 9 to 4. We can even work out a discount for an upfront payment for group or multiple lessons. Currently teaching one on one at a permanent foreign Mission in geneva.  On-going multi private lessons as well. Numerous references available upon request.
[email protected]

can anyone recommend a good russian speaking french teacher please?

Russian is one of the languages I speak.  I'm a 35 year old translator with over 15 years background transmitting and translating French and a couple other languages.  I developed a radical technique to acquire a foreign language, cutting by at least 5 the time people need to become proficient.  I also focus on the self-introducing expressions to be used in important social settings - since the words taughts in schools - such as 'enchanté' - never will help you stand out of the ordinary.

Regards

C.