Long version: no, they don't. There are several brands of the so-called 'circulation boosters' on the market that make cautious claims about boosting the circulation. The claims are made with caution as there is no evidence that they actually do.

Who should not use Revitive circulation booster?

Do not use REVITIVE Circulation Booster if: fitted with an electronic implanted device such as a heart pacemaker or Automatic Implantable Cardioverter Defibrillator (AICD); you are pregnant; being treated for, or have symptoms of Deep Vein Thrombosis (DVT): such as pain, swelling and tenderness, heavy ache, warm or red ...

Do leg circulation boosters work?

“We have used the Circulation Booster v3® and have found that it is very effective at stimulating the muscles of the feet and lower leg, causing a very good increase in blood flow.